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In this paper, we prove a coupled and a common coupled fixed point theorems via newly proposed coupled implicit contractive condition in the framework of S-metric spaces. Also, we give some corollaries of the main result. Furthermore, an illustrative example and an application to the Fredholm integral equation are given. Our results extend, generalize and enrich several results from the existing literature. [ABSTRACT FROM AUTHOR]

It has been shown that the findings of d -metric spaces may be deduced from S -metric spaces by considering d ϖ , ϰ = Λ ϖ , ϖ , ϰ . In this study, no such concepts that translate to the outcomes of metric spaces are considered. We establish standard fixed point theorems for integral type contractions involving rational terms in the context of complete S -metric spaces and discuss their implications. We also provide examples to illustrate the work. This paper's findings generalize and expand a number of previously published conclusions. In addition, the abstract conclusions are supported by an application of the Riemann-Liouville calculus to a fractional integral problem and a supportive numerical example. [ABSTRACT FROM AUTHOR]

In this work, we prove in a partial b-metric space a common fixed point theorem for two pairs of mappings that satisfy a generalized contraction condition which involves a simulation function . Our result generalizes and extends several results from the existing literature. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to study convergence of a newly defined modified S-iteration process to a common fixed point of two asymptotically quasi-nonexpansive type mappings in the setting of CAT(0) space. We give a suffcient condition for convergence to a common fixed point and establish some strong convergence theorems for the said iteration process and mappings under suitable conditions. Our results extend and improve many known results from the existing literature.

The purpose of this paper is to establish a common random fixed point theorem by using Ciric quasi contraction for two random operators in the framework of cone random metric spaces and also to obtain some random fixed point results as corollaries. Our results extend and generalize the corresponding recent result from the current existing literature.

The aim of this paper is to establish some common fixed point theorems for four self-mappings satisfying (E.A) and weak compatible properties and contractive type condition involving rational expressions in the setting of complex valued S-metric spaces. The results presented in this paper extend and generalize several results from the existing literature. [ABSTRACT FROM AUTHOR]

In this work, we prove some fixed point theorems for integral type contractive conditions in the setting of complete S-metric spaces and give some consequences of the main results. Also we give some examples in support of the results. Our results extend and generalize several results from the existing literature. Specially our results generalize the results of Ö zg ür and Tas [ABSTRACT FROM AUTHOR]

The purpose of this paper is to prove coupled fixed point theorems for contractive type conditions involving control function in the setting of partial metric spaces. Also, we give an example to support the result. We demonstrate that the coupled fixed point problem is well-posed. Furthermore, we provide some consequences of the established result. The results of findings in this paper extend and generalize several previously published findings from the existing literature. [ABSTRACT FROM AUTHOR]

In this paper, we prove some common fixed point theorems for mappings satisfying contractive conditions involving rational terms and using control functions in the setting of complex valued S-metric spaces. The esthablished results extend and generalize several results from the existing literature. [ABSTRACT FROM AUTHOR]

In this work, we prove some common fixed point theorems on S-metric spaces via C-class functions and give some consequences of the main result. We also give some examples in support of the results. The results obtained in this article generalize, extend and improve several results from the existing literature regarding S-metric spaces. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to prove some common fixed point theorems in S-metric spaces for a pair of self-mappings which is weakly compatible satisfying an implicit relation and give some consequences of the main result. We also give some examples to demonstrate the validity of the results and an application of the main result. The results presented in this paper generalize, extend and enrich several results in the existing literature. It specially generalize the results of Imdad et al. [10] from metric space to the setting of S-metric space. [ABSTRACT FROM AUTHOR]

The main purpose of this paper is to study and establish some fixed point theorems for F(S;T)-contraction in the setting of S-metric space via an implicit relation. The results presented in this paper extend, unify and generalize several known results from the existing literature. Also, we give one of the possible applications of our result to well-posed and limit shadowing property of fixed point problems. [ABSTRACT FROM AUTHOR]

The purpose of this article is to prove some unique fixed point theorems in the setting of S-metric spaces via simulation functions. We give some examples in support of our results and also some consequences of our result. This work extend and generalize some results in the existing literature. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to establish some unique fixed point theorems on S-metric spaces using C-class functions with an altering distance function. The results obtained generalize, extend and improve various existing results in the literature. We also present one of the possible applications of our result to explain well-posedness and limit shadowing property of fixed point problems and give some examples to support our results. [ABSTRACT FROM AUTHOR]

In this paper, we establish fixed point results using some contractive type mappings in the setting of cone Sb-metric spaces. Our results extend, unify and generalize several results given in the current existing literature. [ABSTRACT FROM AUTHOR]

The main goal of this paper is to establish some fixed point theorems for generalized φ-weak contraction mappings in the setting of complete partial metric spaces using C-class function. Also we give some examples in support of our results. As applications of our results, we obtain some fixed point results for contractive mappings of integral type. Our results extend, generalize and modify several results from the current existing literature regarding partial metric spaces and contractive conditions. [ABSTRACT FROM AUTHOR]

The aim of this paper is to introduce the concepts of generalized (Ψ ɸ)-weak contraction mappings of type (A) and (B) and establish some fixed point theorems for said contraction mappings in complete partial metric spaces. Our results extend and generalize several results from the current existing literature. [ABSTRACT FROM AUTHOR]

In the present paper, we establish some fixed point theorems in partial cone metric space using certain contractive type conditions. Also we obtain the well known Banach contraction principle, Kannan contraction, Chatterjae contraction and Reich contraction as corollaries to our results in partial cone metric space. Our results extend and generalize several results from the current existing literature. [ABSTRACT FROM AUTHOR]

The aim of this article is to prove some fixed point and common fixed point theorems on partial metric spaces satisfying implicit relation. Our results extend and generalize several results from the existing literature. [ABSTRACT FROM AUTHOR]

The aim of this paper is to establish some fixed point results for different type of contractive mappings in the setting of cone Sb-metric spaces. Our results extend, unify and generalize several results in the current existing literature. [ABSTRACT FROM AUTHOR]

In this paper, we deal with the approximation of fixed point for multivalued nonexpansive mappings via a new three-step algorithm which is independent and faster than the iterative process discussed by Agarwal et al. [3] and establish some strong convergence theorems and a weak convergence theorem in the setting of Banach spaces. Our results extend and generalize the previous works from the existing literature. [ABSTRACT FROM AUTHOR]

In this paper, we study multivalued version of Thakur et al. [26] threestep iteration process and establish some strong and a weak convergence theorem in the setting of Banach spaces. Our results extend and generalize some corresponding recent results in the existing literature. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to study convergence of a newly defined modified S-iteration process to a common fixed point of two asymptotically quasi-nonexpansive type mappings in the setting of CAT(0) space. We give a sufficient condition for convergence to a common fixed point and establish some strong convergence theorems for the said iteration process and mappings under suitable conditions. Our results extend and improve many known results from the existing literature. [ABSTRACT FROM AUTHOR]

In this paper, we establish some fixed point results for contractive type conditions in the framework of complete cone b-metric spaces and give some applications of our results. The results presented in this paper generalize, extend and unify several well-known comparable results in the existing literature. [ABSTRACT FROM AUTHOR]

In this paper, we study an implicit iterative algorithm to approximate common fixed points of two finite families of asymptotically quasi-nonexpansive mappings in the intermediate sense in convex metric spaces and give some applications of our results. Our results extend and generalize some known results from the current existing literature (see, e.g., [6, 9, 10, 17, 19, 21, 22, 23] many others). [ABSTRACT FROM AUTHOR]

In this paper, we prove some common fied point theorems using rational contraction in the setting of complex valued metric spaces. The results presented in this paper extend and generalize the corresponding results given in the existing literature. [ABSTRACT FROM AUTHOR]

The aim of this work is to establish some unique common fixed point theorems on S-metric spaces using simulation function. The results obtained in this article extend and generalize several results from the existing literature. [ABSTRACT FROM AUTHOR]

The aim of this paper is to study common fixed point under generalized contraction involving rational expression in the setting of complex valued metric spaces. The results presented in this paper extend and generalize several results from the existing literature. [ABSTRACT FROM AUTHOR]