학술논문
Convergence theorems for a finite family of nonexpansive and asymptotically nonexpansive mappings.
Document Type
Journal
Author
Sitthikul, Kittipong (THA-KKU-M) AMS Author Profile; Saejung, Satit (THA-KKU-M) AMS Author Profile
Source
Subject
47 Operator theory -- 47H Nonlinear operators and their properties
47H09Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc.
47Operator theory -- 47J Equations and inequalities involving nonlinear operators
47J25Iterative procedures
47H09
47
47J25
Language
English
Abstract
Summary: ``In this paper, the authors present weak and strong convergence of finite step iteration sequences to a common fixed point for a pair of a finite family of nonexpansive mappings and a finite family of asymptotically nonexpansive mappings in a nonempty closed convex subset of uniformly convex Banach spaces.''