A fixed point theorem for uniformly Lipschitzian mappings in modular vector spaces-Reference-Cited by-同舟云学术

A fixed point theorem for uniformly Lipschitzian mappings in modular vector spaces

Published:2017 Issue:17 Volume:31 Page:5435-5444
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Alfuraidan M¹,Khamsi M.A.²,Manav N.³

Affiliation:

1. Department of Mathematics & Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

2. Department of Mathematical Sciences, University of Texas at El Paso, El Paso, USA

3. Nesrin Manav, Department of Mathematics, Faculty of Arts & Sciences, Erzincan University, Erzincan, Turkey

Abstract

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 lp(.) = {(xn) ? RN; ?? n=0 ??xn?p(n) < ? for some ? > 0.

Publisher

National Library of Serbia

Subject

General Mathematics

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