A Fixed Point Theorem for Uniformly Lipschitzian Mappings in Modular Vector Spaces

被引：8

作者：

Alfuraidan, M. R. ^{[1
]}

Khamsi, M. A. ^{[2
]}

Manav, N. ^{[3
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA

[3] Erzincan Univ, Fac Arts & Sci, Dept Math, Erzincan, Turkey

来源：

FILOMAT | 2017年 / 31卷 / 17期

关键词：

Fixed point; Modular vector spaces; Nakano; Normal structure; Uniformly convex; Uniformly Lipschitzian mapping; Uniform normal structure; Variable exponent space;

D O I：

10.2298/FIL1717435A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a fixed point theorem for uniformly Lipschitzian mappings defined in modular vector spaces which have the uniform normal structure property in the modular sense. We also discuss this result in the variable exponent space l(p(.)) ={(x(n)) is an element of R-N; Sigma(n=0) (infinity) |lambda x(n)|(p(n)) <infinity for some lambda > 0}.

引用

页码：5435 / 5444

页数：10

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