Strong and Δ−Convergence for Total Asymptotically Nonexpansive Nonself Mappings in CAT (0) Spaces
نویسندگان
چکیده
In this paper, we prove some strong and Δ−convergence theorems of total asymptotically nonexpansive non-self mappings in CAT (0) spaces. Our results extend and improve the corresponding recent results announced by many authors. Mathematics Subject Classifications: 47H09, 47J25
منابع مشابه
Strong and $Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)
In this work we use the Noor iteration process for total asymptotically nonexpansive mapping to establish the strong and $Delta$-convergence theorems in the framework of CAT(0) spaces. By doing this, some of the results existing in the current literature generalize, unify and extend.
متن کاملWeak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings
In this paper, we introduce and study a new iterative scheme toapproximate a common xed point for a nite family of generalized asymptoticallyquasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weakconvergence theorems of the proposed iteration are established. The main resultsobtained in this paper generalize and rene some known results in the currentliterature.
متن کاملFixed Point Theorems for Nonself Asymptotically Nonexpansive type Mappings in CAT(0) Spaces
In this paper, we propose a three-step iteration scheme for nonself asymptotically nonexpansive type mappings in a complete CAT(0) metric space and establish necessary and sufficient conditions for convergence of this process to a fixed point of nonself asymptotically nonexpansive type mappings. We also establish a strong convergence result. These results generalize and unify many important res...
متن کاملOn the convergence of three-step random iterative procesess with errors of nonself asymptotically nonexpansive random mappings
begin{abstract} In this paper, we prove some strong and weak convergence of three step random iterative scheme with errors to common random fixed points of three asymptotically nonexpansive nonself random mappings in a real uniformly convex separable Banach space. end{abstract}
متن کاملStrong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings
In this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regular asymptotically nonexpansive mappings in a real reflexive Banach space with a uniformly G$hat{a}$teaux differentiable norm. Our result is applicable in $L_{p}(ell_{p})$ spaces, $1 < p
متن کامل