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In this paper, we introduce a random iteration scheme for three asymptotically nonexpansive random operators defined on a uniformly convex separable Banach space and prove its convergence to a common fixed point of three random operators. [ABSTRACT FROM AUTHOR]

In this paper, firstly, we introduce the concept of convexity in A-metric spaces and show that Mann iteration process converges to the unique fixed point of Zamfirescu type contractions in this newly defined convex A-metric space. We give also an example concerning with this convergence. Secondly, we define the concept of stability in convex A-metric spaces and establish stability result for the Mann iteration process considered in such spaces. Our results carry some well-known results from the literature to convex A-metric spaces. [ABSTRACT FROM AUTHOR]

The aim of this paper is to introduce an iterative process with errors for a finite family of multivalued mappings satisfying the condition (C) which is weaker than nonexpansiveness. We also prove some strong and weak convergence theorems for such mappings in uniformly convex Banach spaces. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a general iterative process with errors for a finite family of quasi-nonexpansive multi-valued mappings and prove some strong and weak convergence theorems for such mappings in uniformly convex Banach spaces. Our results are generalizations as well as refinement of several known results in the current literature. [ABSTRACT FROM AUTHOR]

Abstract: We consider an implicit iterative process for two finite families of mappings in a real Banach space and prove strong convergence results without using the Lipschitz condition on mappings. Our results mainly improve and extend the recent results of Chang et al. (2001, 2009, 2007) , Cho et al. (2005) , Gu (2008) , Ofoedu (2006) , Schu (1991) , Zeng (2003, 2005) , and Qin et al. (2008) . [Copyright &y& Elsevier]

The purpose of this article is to introduce an implicit iteration process for approximating common fixed points of three finite families nonexpansive mappings and to prove weak and strong convergence theorems in uniformly convex Banach spaces. [ABSTRACT FROM AUTHOR]

Abstract: In this paper, we introduce a new one-step iterative process to compute the common fixed points of two multivalued nonexpansive mappings. Furthermore, we also prove some strong and weak convergence theorems in uniformly convex Banach spaces. [Copyright &y& Elsevier]

In this paper, we introduce a new iterative process for approximating a common fixed point of asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. Under some appropriate conditions, strong and weak convergence theorems are established for this iterative process. [ABSTRACT FROM AUTHOR]

Abstract: The purpose of this paper is to study the following iteration process where ,, . We prove a necessary and sufficient condition to obtain a strong convergence result. We also prove some other strong and weak convergence theorems for this iteration process for approximating a common fixed point of two finite families of Lipschitzian pseudocontractive mappings. Our results extend, improve and unify the corresponding results of Chen, Song and Zhou (2006) , Hao (2008) , Li, He and Zhao (2009) . [ABSTRACT FROM AUTHOR]

Abstract: In this paper, we study an implicit iterative algorithm for two nonexpansive mappings and two finite families of nonexpansive mappings in Banach spaces. We prove some weak and strong convergence theorems for these iterative algorithms. Our results extend some existing results. [Copyright &y& Elsevier]

In this paper, we consider a new iteration process which is faster than all of Picard, Mann, Ishikawa and Agarwal et al. processes. We also prove some strong and weak convergence theorems for the class of nonexpansive mappings in Banach spaces. [ABSTRACT FROM AUTHOR]

The aim of this paper is to show that Newton-like S-iteration method converges to the unique solution of the scalar nonlinear equation f(x) = 0 under weaker conditions involving only f and f1: We also present numerical examples to support our analytical results. [ABSTRACT FROM AUTHOR]