Approximating Fixed Points of Generalized α-Nonexpansive Mappings in Banach Spaces

被引：89

作者：

Pant, Rajendra ^{[1
]}

Shukla, Rahul ^{[1
]}

机构：

[1] Visvesvaraya Natl Inst Technol, Dept Math, Nagpur 440010, Maharashtra, India

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2017年 / 38卷 / 02期

关键词：

Condition (C); generalized alpha-nonexpansive mapping; alpha-nonexpansive mapping; nonexpansive mapping; Opial property; SUCCESSIVE-APPROXIMATIONS; CONVERGENCE; ITERATION; THEOREMS; WEAK;

D O I：

10.1080/01630563.2016.1276075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new type of nonexpansive mappings and obtain a number of existence and convergence theorems. Thisnewclass of nonlinear mapping properly contains nonexpansive, Suzuki-type generalized nonexpansive mappings and partially extends firmly nonexpansive and alpha-nonexpansive mappings. Also, this class of mapping need not be continuous. Some useful examples are presented to illustrate facts. Some prominent iteration processes are also compared using numerical computations.

引用

页码：248 / 266

页数：19

共 18 条

[1]

Agarwal RP, 2007, J NONLINEAR CONVEX A, V8, P61

[2]

[Anonymous], 1990, Topics in metric fixed point theory

[3] Fixed point theorem for α-nonexpansive mappings in Banach spaces [J].