On Certain Reversed Mean Lipschitzian Mappings in Banach Spaces

被引：0

作者：

Bashir, Shahid ^{[1
]}

Malik, Muhammad Aslam ^{[2
]}

Husnine, Syed Muhammad ^{[1
]}

机构：

[1] Natl Univ Comp & Emerging Sci, Dept Sci & Humanities, Lahore, Pakistan

[2] Univ Punjab, Dept Math, Lahore, Pakistan

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2021年 / 42卷 / 13期

关键词：

Fixed point property; Mean Lipschitz constant; Mean Lipschitzian mappings; Reverse mean Lipschitz constant; Reversed mean Lipschitzian mappings;

D O I：

10.1080/01630563.2021.2001748

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce reversed mean Lipschitzian mappings and find the bound for reversed mean Lipschitz constants of its iterates under certain conditions. Moreover, we prove that if a bounded closed and convex subset C of Banach space has fixed point property for nonexpansive mappings, then C also has fixed point property for certain reversed ((alpha, beta), 1)-Lipschitzian mappings such that alpha >= beta.

引用

页码：1539 / 1554

页数：16

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