Open AccessWeak Convergence of Iterative Approximation for Fixed Points of A Monotone α-nonexpansive Mapping
Author(s) -
Rong Zhang
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/569/5/052095
Subject(s) - monotone polygon , banach space , fixed point , regular polygon , convergence (economics) , mathematics , weak convergence , pure mathematics , mathematical analysis , computer science , geometry , computer security , economics , asset (computer security) , economic growth
In this paper, a modified approximation method is introduced for finding the fixed point of α -nonexpansive mapping in a uniformly convex Banach space with a partial order. Moreover, the weak convergence theorems of the fixed point of α -nonexpansive mapping are established under Opial and weak-Opial conditions, respectively. Topic classification: 47H05; 47H09; 47H10 CLC number: O177.91 Document code: A