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In this paper, we introduce a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two asymptotically nonexpansive non-self mappings in the intermediate sense and establish some strong convergence theorems for mentioned scheme and mappings in Banach spaces. Our results extend and generalize the corresponding results recently announced by Wei and Guo [16] (Comm. Math. Res. 31(2015), 149-160) and many others.

In this paper, an implicit iteration process has been proposed for two finite families of generalized asymptotically quasi-nonexpansive mappings and establish some strong convergence theorems in the framework of convex metric spaces. Also, some applications of our result has been given. Our results extend and generalize several results from the current existing literature.

In this paper, we prove some common fixed point theorems in S-metric spaces for a pair of weakly compatible self-mappings using control function and give some consequences of the established result. We also furnish some examples to demonstrate the validity of the results. The results presented in this paper generalize, extend and enrich several results in the existing literature. [ABSTRACT FROM AUTHOR]

This paper deals with a coupled fixed point theorem for a mapping satisfying contractive type condition in the setting of partial metric spaces. Furthermore, we give some consequences of the established result. Also, we give an example to validate the result and state some applications to the main result of a self mapping which is involved in an integral type contraction. Our results extend and generalize several previously published results from the existing literature. Specially, our results generalize the results of Aydi [5]. [ABSTRACT FROM AUTHOR]

In this paper, we prove some common fixed point results for two pairs of weakly compatible mappings satisfying (E:A) property and CLR-property in the framework of S-metric spaces and provide some examples to support the outcomes. We also prove well-posedness of a fixed point problem. Our findings generalize and extend a number of previously published findings. [ABSTRACT FROM AUTHOR]

In this paper, we prove some common fixed point theorems on S-metric spaces for two pairs of weakly compatible mappings by using C-class functions and give some consequences as corollaries of the established results. We also give an example in support of the result. The results presented in this paper generalize, extend and enrich various results in the existing literature. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to prove some common fixed point theorems for two pairs of self-mappings satisfying (CLR)-property and some Φ-type contractive condition in the framework of S-metric spaces. We also give some examples to validate the results. The results presented in this paper generalize, extend and unify several previous results in the existing literature. [ABSTRACT FROM AUTHOR]

In the context of partial metric spaces, the purpose of this paper is to establish coupled and common coupled fixed point theorems for contractive type conditions. Furthermore, we provide some repercussions of the established results. Our findings extend and generalize a number of previously published findings. We demonstrate that the coupled fixed point problem of the aforementioned results is well-posed. [ABSTRACT FROM AUTHOR]

In this paper, we establish some common fixed point theorems and a coincidence point theorem on complete weak partial metric spaces using auxiliary functions. We also give some examples in support of the results. The results proved in this paper extend and generalize several results from the existing literature. [ABSTRACT FROM AUTHOR]

In this article, we prove some common fixed point theorems for generalized integral type F-contractions in the setting of complete partial metric spaces and give some consequences of the main result. Also we give an example in support of the result. Our result extends and generalizes several results from the existing literature. [ABSTRACT FROM AUTHOR]

In this paper, we study the class of cyclic contractions in the setting of S-metric spaces involving C-class function and establish some fixed point theorems in the setting of complete S-metric spaces. We support our results with some examples. Our results extend and generalize several results from the existing literature (see, e.g., [3, 8, 9, 14, 15, 20] and many others) to the case of more general ambient space and contraction condition. [ABSTRACT FROM AUTHOR]

The aim of this paper is to establish some fixed point and common fixed points theorems in the setting of S-metric space under implicit relation. Our results extend, unify and generalize several results from the current existing literature. [ABSTRACT FROM AUTHOR]

In this paper, we establish some strong convergence theorems of modified S-iteration process to converge to common fixed points involving two total asymptotically nonex-pansive non-self mappings in the framework of Banach spaces. Also, we give some applications of our result. Our results extend and generalize the previous works from the current existing literature. [ABSTRACT FROM AUTHOR]

The objective of this paper is to study the weak and strong convergence of two-step implicit iteration process with errors to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results of Chang and Cho (2003), Xu and Ori (2001), Zhou and Chang (2002) and Gu and Lu (2006). [ABSTRACT FROM AUTHOR]

In this paper, we study an implicit iteration scheme with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings and give the necessary and sufficient condition to converge to common fixed points for the said scheme in Banach spaces. The results presented in this paper generalize, improve and unify the corresponding results in [3, 4, 7, 9, 11, 12, 13, 15, 16, 17, 18]. [ABSTRACT FROM AUTHOR]

In this paper, we give the sufficient condition for strong convergence of finite step iteration sequences with errors to a common fixed point for a pair of a finite family of quasi-nonexpansive mappings and a finite family of asymptotically quasi-nonexpansive mappings in closed convex subset of a Banach spaces. The results presented in this paper generalize, improve and unify the corresponding results in [1, 2, 4, 5, 9, 10]. [ABSTRACT FROM AUTHOR]