CONVERGENCE OF FIXED POINT OF ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN CONVEX METRIC SPACE

Convergence theorems for common fixed points of asymptotically quasi-nonexpansive mappings in convex metric spaces

Keywords: Implicit iterative algorithm Asymptotically quasi-nonexpansive mappings Common fixed point Convex metric space a b s t r a c t In this paper, we consider an implicit iteration process to approximate the common fixed points of two finite families of asymptotically quasi-nonexpansive mappings in convex metric spaces. As a consequence of our result, we obtain some related convergence the...

Convergence Theorems for the Unique Common Fixed Point of a Pair of Asymptotically Nonexpansive Mappings in Generalized Convex Metric Space

Convergence of Ishikawa type iteration process for three quasi-nonexpansive mappings in a convex metric space

The paper establishes some convergence theorems for Ishikawa type iteration processes associated with two and three quasi-nonexpansive mappings in a convex metric space.

Fixed-point Iteration Processes for Non-lipschitzian Mappings of Asymptotically Quasi-nonexpansive Type

We study convergences of Mann and Ishikawa iteration processes for mappings of asymptotically quasi-nonexpansive type in Banach spaces. 1. Introduction and preliminaries. Let D be a nonempty subset of a real Banach space X and T : D → D a nonlinear mapping. The mapping T is said to be asymptotically quasi-nonexpansive (see [5]) if F(T) = ∅ and there exists a sequence {k n } in [0, ∞) with lim n...

Approximation Common Fixed Point of Asymptotically Quasi-nonexpansive-type Mappings by the Finite Steps Iterative Sequences

The purpose of this paper is to study sufficient and necessary conditions for finite-step iterative sequences withmean errors for a finite family of asymptotically quasi-nonexpansive and type mappings in Banach spaces to converge to a common fixed point. The results presented in this paper improve and extend the recent ones announced by GhostDebnath, Liu, Xu and Noor, Chang, Shahzad et al., Sha...