Search

In this paper, we first prove existence of fixed points for Berinde nonexpansive multivalued mappings on Banach spaces. Moreover, we obtain convergence theorems for common fixed point of Berinde and quasi-nonexpansive mappings. The main results obtained in this paper extened and generalize some of the well-known results in the literature.

This paper deals with a class of algebraic hyperstructures called ternary semihypergroups, which are a generalization of ternary semigroups. Our main purpose of this paper is to introduce and study the notions of quasi-hyperideal and bi-hyperideal in ternary semihypergroups. The structure of ternary semihypergroups through the quasi- and bi-hyperideals is studied and some characterizations are given. Also, we introduce the notion of generalized bi-hyperideals. Several kinds of them are investigated.

In this paper, a new generalization of semi-linear uniform spaces is introduced for the first time. This generalization will dispense with the chain condition imposed on a semi-linear uniform space which is given in Tallafha and Khalil (Eur J Pure Appl Math 2:231–238, 2009). We will show that several facts and results have been verified without that strong condition. Finally, we use the concept of ultrafilter and Cauchy filter to study the concept of precompact in this generalization of semi-linear uniform spaces.

In this paper, we prove coincidence point results for $$\psi $$ -contractions in non-Archimedean fuzzy metric spaces by utilizing some relation-theoretic metric analogues of usual metrical notions. With a view to substantiate the utility of these findings, we solve the system of Fredholm integral equations as an application. In this way, these findings generalize and improve some prominent recent results obtained in Mihet (Fuzzy Sets Syst 159(6):739–744, 2008), Altun and Mihet (Fixed Point Theory Appl 2010:782680, 2010) and Alam Imdad (Filomat 31(14):4421–4439, 2017) and several others in non-Archimedean fuzzy metric spaces equipped with an amorphous binary relation.

The aim of this paper is to study the concept of ideals. Especially, prime (semiprime) ideals of $$\varGamma $$ -nearness hemiring are introduced and are given some properties of such ideals.

In this paper we study some applications of second order differential subordination, superordination and sandwich-type results for certain admissible classes of meromorphically multivalent functions associated with the Liu-Srivastava operator.

In this paper, we have established some new integral identities connected with the left-hand side of Hermite–Hadamard inequality. By using this identity, we have obtained some new bounds for functions whose derivatives in absolute values are s-convex.

In this paper, using $$q-$$ difference operator, we define a class of harmonic univalent functions and obtain various properties for it.

In this paper, we introduce a class of mappings called the weak KKH-Caristi type expansion in b-metric and ordered b-metric spaces by generalizing the Caristi-type contractions. Also, we present some fixed point results on this class of mappings. Some examples are also given to support and illustrate our results.

The only hitherto known Kurosh–Amitsur prime radical of near-rings is the equiprime radical which is also ideal-hereditary in the variety of zero-symmetric near-rings. In this paper an other prime radical is introduced in near-rings which is Kurosh-Amitsur but it fails to be ideal-hereditary.

In this paper, we investigate and introduce new two subclasses of analytic functions by using q-Catas operator and definition of subordination. Furthermore, we obtain coefficient estimate theorems. Also, we present new results for subordination factor sequence.

The goal of this paper is to introduce and give some constructions and study properties of Hom-left-symmetric color dialgebras and Hom-tridendriform color algebras. Next, we study their connection with Hom-associative color algebra, Hom-post-Lie color algebra and Hom-Poisson color dialgebras. Finally, we generalize Yau's twisting to a class of color Hom-algebras and used endomorphisms or elements of centroids to produce other color Hom-algebras from given one., Comment: corrected affiliation of the second author, improved references and exposition

The aim of this paper is to give a generalization of the concept of commutativity degree of a finite group G (denoted by d(G)), to the concept of commutativity degree of a group algebra F[G], where G is a finite group and F is a finite field. We prove that two isoclinic groups for which the order of their centers are equal have the same commutativity degree. Finally, we give some lower and upper bounds for the commutativity degree of group algebra F[G] in terms of the order of G, the order of F and d(G).

In 2017, Parvaneh et al. (J Math Anal 8(1):183–201, 2017) further extended rectangular metric space by introduced partial rectangular b-metric space and utilized the same to prove some fixed point results. Almost at the same time, Roshan et al. (Nonlinear Anal Model Control 21(5):614–634, 2016) generalized Geraghty fixed point results by proving some fixed point results in b-rectangular metric space. In this paper, we prove some ordered-theoretic fixed point results for Geraghty-weak contraction in ordered partial rectangular b-metric space. Our results extend and improve many existing results in literature. We also furnish an example which exhibits the utility of our results.

Making use of the $$q-$$ difference operator $$ L_{p,q}\left( a,c\right) $$ , we introduce a new two subclasses of $$p-$$ valent analytic functions in the open unit disk. The main objective of the present paper is to investigate the various important properties and characteristics of each of these subclasses. Furthermore, several properties involving neighborhoods and modified Hadamard products of functions in these subclasses are obtained.

Inspired by the analysis of soft sets and fuzzy sets, in this paper, we study the relevance and interrelationship of the equivalence and congruence relation of lattice ordered fuzzy soft groups(l-FSGs). Moreover, we analyze some of the innate algebraic results accrued out of it theoretically. We construct l-FSG congruence class and l-FSG quotient set on a group X. We analyze the relationship between l-FSG congruence relation and l-FSG normal subgroups. In particular, we prove that in a group X, l-FSG normal subgroups form a modular lattice.

In this paper, we introduce the new classes $$VE_{q}(n,\lambda ,\beta )$$ and V $$G_{q}(n,\lambda ,\beta )$$ of analytic functions with varying arguments defined by q-Al-Oboudi difference operator and study different properties for them.

The paper attempts to study Deszcz pseudosymmetric conditions on $$\alpha $$ -cosymplectic manifold based on the study of equivalence of geometric structures (initiated by Shaikh and Kundu in 2013) by considering different conditions into various groups or classes. We prove that an $$\alpha $$ -cosymplectic manifold belonging to the class $$G_{1}$$ and $$G_{2}$$ is Einstein, whereas such a manifold belonging to the class $$G_{3}$$ and $$G_{4}$$ is an $$\eta $$ -Einstein manifold. Moreover, we determine the Riemann solitons.

In this paper, we study the quasi bi-slant submersions from Sasakian manifolds onto Riemannian manifolds. We define quasi bi-slant submersions from almost contact metric manifolds onto Riemannian manifolds which are generalization of hemi-slant submersions and semi-slant submersions with some examples. We also discuss the geometry of leaves of distributions which are involved in the definition of this submersion and obtain coditions for such submersions to be integrable and totally geodesic. Further, we give a characterization theorem for proper quasi bi-slant submersions with totally umbilical fibres.

In this paper, some cover types are defined on neutrosophic soft sets and the concept of compactness on neutrosophic soft topological spaces is presented using these covers. We also defined the concept of locally compactness on neutrosophic soft topological spaces and some properties are investigated.

The main purpose of this paper is to introduce Apostol type (p, q)-Frobenius–Eulerian numbers and polynomials and investigate some of their basic identities and properties including addition theorems, difference equations, derivative properties, recurrence relations. Integral representations, implicit and explicit formulas and relations for the aforementioned polynomials and numbers are also acquired. Furthermore, some relationships for Apostol type (p, q)-Frobenius–Eulerian polynomials of order $$\alpha $$ associated with (p, q)-Apostol Bernoulli polynomials, (p, q) -Apostol Euler polynomials, (p, q)-Apostol Genocchi polynomials and Stirling numbers of the second kind are considered.

In this paper, we present some fixed point theorems for a class of contractive mappings in complete b-metric spaces of zero at infinity varieties. We verify the T-stability of Picard’s iteration and the P property for such mapping.

This paper constructs the compactification of rough pseudo metric spaces using the concept of Cech rough proximity spaces, in terms of rough linked grills which are generalizations of Cauchy sequences.

In this paper we introduce new class of q-starlike and q-convex functions of complex order involving the q-derivative operator. Morever, we find estimates on the coefficients for functions in this class.

The paper introduces the notion of A-statistical convergence of difference sequences with speed λ = (λk), where 0

U-cross Gram matrices are produced by frames and Riesz bases. In this paper, we represent bounded operators as matrix operators using K-frames. We study the invertibility matrices respect to K-frames. Moreover, we apply the concept of K-Riesz bases in Hilbert space $${\mathcal {H}}$$ to the concept of matrix induced by U with respect to K-Riesz bases.

In this paper, we introduce the concepts of translational invariant vague set of a $$\Gamma $$ -semiring and units, associates, prime elements with respect to a vague set. Also, we define an ideals of a $$\Gamma $$ -semiring generated by translational invariant vague set and an element and their properties are discussed. Further, we study the properties of homomorphic image and pre-image of translational invariant vague set under the $$\Gamma $$ -semiring homomorphism and we prove that every homomorphic image of a prime ideal of a $$\Gamma $$ -semiring generated by a $$\psi $$ -prime element and translational invariant and f-invariant vague set is also a prime ideal.

In this paper, we focus on investigating some types of (skew) filters such as weak (positive) implicative (skew) filters on pseudo residuated skew lattices and obtain some properties of these (skew) filters. The relationship between these (skew) filters and other types of (skew) filters are discussed. It is shown that any weak positive implicative filter is a weak implicative and strong filter if it is a normal filter. Moreover, we characterize some types of filters by the properties of corresponding quotient algebras. Some equivalent characterizations for some filters are obtained too. Finally, a new characterization of these filters in a pseudo residuated skew lattice by a diagram is given.

In the present paper, new subclasses of bi-univalent functions of complex order associated with hypergeometric functions are introduced and coefficient estimates for functions in these classes are obtained. Several new (or known) consequences of the results are also pointed out.

In this paper, authors construct cyclic Ishikawa type iterative method for a finite family of multi-valued non-self and L-Lipschitz Hemi-contractive mappings in real Hilbert spaces. We also extend the result to the class of tempered L-Lipschitz generalized Hemi-contractive mappings. We prove weak and strong convergence results of the iterative method. Our results generalize many results in literature.

In this paper, we obtain some new Eisenstein series identities containing the Borweins’ cubic theta functions using (p, k)-parameterization. Further, as an application of this, we evaluate the convolution sum i+4 j=n σ (i)σ (j

In this paper, we investigate the algebraic properties of the expectation semirings which are semiring version of the concept of trivial extension in ring theory. We discuss ideals, primes, maximals and primary ideals of these semirings. We also discuss the distinguished elements such as the units, idempotents, and zero-divisors of the expectations semirings. Similar to their counterparts in ring theory, we introduce pr\'{e}simplifiable, domainlike, clean, almost clean, and weakly clean semiring and see when an expectation semiring is one of these semirings.

Approximation formulas for the Genocchi polynomials and Genocchi polynomials of higher order are obtained using the method of residues. The authors were motivated by a paper of Lopez and Temme. Formulas obtained here are used as check formulas of their formulas for Euler polynomials and higher order Euler polynomials. Moreover, asymptotic formulas of Genocchi numbers and higher order Genocchi numbers are obtained.

In this paper, we introduce coproducts of proximity spaces. After exploring several of their basic properties, we show that given a collection of proximity spaces, the coproduct of their Smirnov compactifications proximally and densely embeds in the Smirnov compactification of the coproduct of the original proximity spaces. We also show that the dense proximity embedding is a proximity isomorphism if and only if the index set is finite. After constructing a number of examples of coproducts and their Smirnov compactifications, we explore several properties of the Smirnov compactification of the coproduct, including its metrizability, connectedness of the boundary, dimension, and its relation to the Stone-Cech compactification. In particular, we show that the Smirnov compactification of the infinite coproduct is never metrizable and that its boundary is highly disconnected. We also show that the proximity dimension of the Smirnov compactification of the coproduct equals the supremum of the covering dimensions of the individual Smirnov compactifications and that the Smirnov compactification of the coproduct is homeomorphic to the Stone-Cech compactification if and only if each individual proximity space is equipped with the Stone-Cech proximity. We finish with an example of a coproduct with the covering dimension $0$ but the proximity dimension $\infty.$, Comment: 24 pages

In this paper we proposed the Kantorovich form of $$\alpha $$-Bernstein operators introduced by Chen et al. (Math Anal Appl 450:244–261, 2017). We give some auxiliary properties and study the direct local approximation theorem, Voronovskaya type asymptotic and function of bounded variation for $$\alpha $$-Bernstein–Kantorovich operators.

The object of the present paper is to study Ricci solitons on three dimensional generalized Sasakian space forms with quasi Sasakian metric. We have also studied gradient Ricci solitons on such manifolds. Examples have been given.

In this paper, we investigate generalized Lie derivations. We give a complete characterization of when each generalized Lie derivation is a sum of a generalized inner derivation and a Lie derivation. This generalizes a result given by Benkovic. We also investigate when every generalized Lie derivation on some particular kind of unital algebras is a sum of a generalized derivation and a central map which vanishes on all commutators. Precisely, we consider both the unital algebras with nontrivial idempotents and the trivial extension algebras.

In this paper, the notions of cubic intuitionistic KU-subalgebras and KU-ideals of a KU-algebras are introduced, and several properties are investigated. Characterizations of cubic intuitionistic KU-subalgebras and KU-ideals of KU-algebras are considered. Relations between a cubic intuitionistic KU-subalgebra and a cubic intuitionistic KU-ideal are given.

In this paper, we have studied an estimate of the rate of convergence of Fourier series in the generalized Holder metric $$H_{L_{r}}^{(\omega )}$$ space by using deferred Norlund mean and established some new results. Our results are more advanced that generalize and unify many other results available in the literature.

This paper is devoted to study the existence of solutions for a class of mild solutions for a class of impulsive neutral stochastic functional differential equations driven fractional Brownian motion (fBm) with noncompact semigroup in Hilbert spaces. The new results are obtained by using the Hausdorff measure of noncompactness. The arguments are based upon Monch’s fixed point theorem. Finally, an example is provided to illustrate the developed theory.

In this paper, we introduce and investigate a new subclass of the function class $$\Sigma $$ of bi-univalent functions defined in the open unit disk, which are associated with the Salagean type q-difference operator and satisfy some subordination conditions. Furthermore, we find estimates on the Taylor–Maclaurin coefficients $$|a_{2}|$$ and $$|a_{3}|$$ for functions in the new subclass introduced here. Several (known or new) consequences of the results are also pointed out. Further we obtain Fekete–Szego inequality for the new function class.

In this paper, we prove some fixed point theorems by introducing a new F-contraction namely $$S_F$$ -contraction in fuzzy metric spaces by combining the idea of Wardowski’s (Fixed Point Theory Appl 2012, Article ID 94, 2012) and Secelean’s (Fixed Point Theory Appl 2013, Article ID 277, 2013) contractions in metric spaces and Grabiec’s (Fuzzy Sets Syst 125, 385–389, 1988) contraction in fuzzy metric spaces. An example is also given to support the results proved herein.

In the present paper, we investigate the commutativity of 3-prime near-rings satisfying certain conditions involving left generalized multiplicative derivations on semigroup ideals. Moreover, examples have been provided to justify the necessity of 3-primeness condition in the hypotheses of various results.

In this paper we study the decomposition structure of a direct image of a polynomial ring under certain map.

In the paper we study the uniqueness problem of certain differential polynomials generated by two meromorphic functions provided they share a small function along with some other conditions on the zeros and poles of the concerned functions.

In this paper, we introduce Halpern-type proximal point algorithm for approximating a common solution of monotone inclusion problem and fixed point problem. We obtain a strong convergence of the proposed algorithm to a common solution of finite family of monotone inclusion problem and fixed point problem for nonexpansive mappings in complete CAT(0) spaces. Nontrivial application and numerical example were given. Our results complement and extend some recent results in literature.

In this paper, we introduce and investigate the subclasses $$\mathcal {Q} _{g}^{\zeta }(m,\lambda ,\mu ;\gamma )$$ and $$\mathcal {H}_{g}^{\zeta }(m,\lambda ,\mu ,r;u)$$ of analytic functions of complex order defined by a new differential operator involving binomial series. Furthermore, We obtain coefficients bounds and coefficient estimates involving of the nonhomogeneous Cauchy–Euler differential equation of order r. Several corollaries of the main results are also considered.

In this paper, some fundamental relationships of a $$\Gamma $$ -semihypergroup and its operator semihypergroup in terms of fuzzy subsets, fuzzy hyperideals and fuzzy hyperideal extension are obtained. Using these in obtaining some characterization theorems of $$\Gamma $$ -semihypergroups in terms of fuzzy subsets, we highlight the effectiveness of operator semihypergroups in the study of $$\Gamma $$ -semihypergroups in terms of fuzzy subsets.

In this paper, we study the stability of some essential B-spectra of closed linear operators on a Banach space X, under polynomially finite rank operators and we give the characterization of some essential B-spectra of a $$2\times 2$$ of unbounded matrix operator acting in the product of Banach spaces $$X\times Y$$ . Then, using the functional calculus, we prove that a spectral mapping type theorem holds for these essential B-spectra. As an application, we study the effect of the functional calculus on the class of meromorphic operators, and on the class of isoloid operators with sable sign index, satisfying generalized Weyl theorem.

In this paper it is constructed a new Besov–Morrey type spaces. Utilizing integral representation of generalized derivatives of functions defined on n-dimensional domains satisfying flexible $$\varphi $$ -horn condition an embedding theorem is proved. Also, it is proved that the generalized derivatives of functions from this spaces satisfies the generalized Holder condition.