Search

The concept of symmetry has played a major role in Hilbert space setting owing to the structure of a complete inner product space. Subsequently, different studies pertaining to symmetry, including symmetric operators, have investigated real Hilbert spaces. In this paper, we study the solutions to multiple-set split feasibility problems for a pair of finite families of β -enriched, strictly pseudocontractive mappings in the setup of a real Hilbert space. In view of this, we constructed an iterative scheme that properly included these two mappings into the formula. Under this iterative scheme, an appropriate condition for the existence of solutions and strong and weak convergent results are presented. No sum condition is imposed on the countably finite family of the iteration parameters in obtaining our results unlike for several other results in this direction. In addition, we prove that a slight modification of our iterative scheme could be applied in studying hierarchical variational inequality problems in a real Hilbert space. Our results improve, extend and generalize several results currently existing in the literature. [ABSTRACT FROM AUTHOR]

Symmetry is a key part of the study of basic forces and particles, as well as the creation of mathematical models that help scientists in various scientific disciplines understand complex events. Scientists can figure out what a system is made of and how it works by looking at its symmetry. They can then use this information to make predictions and create new materials and technologies. Humanity has conquered many once-fatal diseases due to medical research and technological advancements. Although this progress is encouraging, there are still a great many areas that require continual human efforts. An effort is made in this article to choose the best treatment strategy to completely manage the pandemic of COVID-19 under conjunctive complex fuzzy knowledge. In this paper, the concept of conjunctive complex fuzzy relations is presented and numerous set theoretical aspects of this phenomenon are established. The investigation of this ideology is further expanded to describe different sorts of essential structural conjunctive complex fuzzy relations. Matrix and graphical representations of the formation of these newly specified relations are also provided. Moreover, this concept has been successfully employed to provide a therapy strategy for a rapid recovery from COVID-19. Furthermore, a comparative analysis is conducted to demonstrate the validity and applicability of the suggested approaches compared to existing methods. [ABSTRACT FROM AUTHOR]

The q -rung orthopair fuzzy environment is an innovative tool to handle uncertain situations in various decision-making problems. In this work, we characterize the idea of a q -rung orthopair fuzzy subgroup and examine various algebraic attributes of this newly defined notion. We also present q -rung orthopair fuzzy coset and q -rung orthopair fuzzy normal subgroup along with relevant fundamental theorems. Moreover, we introduce the concept of q -rung orthopair fuzzy level subgroup and proved related results. At the end, we explore the consequence of group homomorphism on the q -rung orthopair fuzzy subgroup. [ABSTRACT FROM AUTHOR]

In this paper, we formulate the q -analogus of differential operator associated with q -Mittag-Leffler function. By using this newly defined operator, we define a new subclass k − U S q , γ m α , β , of analytic functions in conic domains. We investigate the number of useful properties such that structural formula, coefficient estimates, Fekete–Szego problem and subordination result. We also highlighted some known corollaries of our main results. [ABSTRACT FROM AUTHOR]

In this paper, the concept of Neutrosophic LA-rings is introduced. Furthermore, we investigate their algebraic structures. We discuss various types of ideals and establish a number of results to better understand the characteristic behavior of Neutrosophic LA-rings. In addition, we investigate the properties of the Neutrosophic M-system, Neutrosophic P-system, and Neutrosophic I-system in order to characterize the Neutrosophic LA-ring. [ABSTRACT FROM AUTHOR]

The security of an encryption algorithm is associated to the performance of the building block which is liable for producing ambiguity in the cipher. This functionality is attained by the use of an S-box. The perfection and effectiveness of an S-box has been a major problem of research in the area of cryptology. In this article, we apply fuzzy soft set theory to analyze the appropriateness and exactness of an S-box to image encryption application by using FS-aggregation operator. [ABSTRACT FROM AUTHOR]

The paper presents error bounds for the second order exponential Runge-Kutta method for parabolic abstract linear time-dependent differential equations incorporating non-smooth initial data. As an example for this particular type of problems, the paper presents a spatial discretization of a partial integro-differential equation arising in financial mathematics, where non-smooth initial conditions occur in option pricing models. For this example, numerical studies of the convergence rate are given. [ABSTRACT FROM AUTHOR]