Common Fixed Points for Suzuki-Generalized Nonexpansive Maps-Reference-Cited by-同舟云学术

Common Fixed Points for Suzuki-Generalized Nonexpansive Maps

Published:2013 Issue: Volume:2013 Page:1-5
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Alghamdi Maryam A.¹,Dhompongsa Sompong²,Shahzad Naseer³

Affiliation:

1. Department of Mathematics, Science Faculty for Girls, King Abdulaziz University, P.O. Box 4087, Jeddah 21491, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

3. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21859, Saudi Arabia

Abstract

A common fixed point theorem for a pair of maps satisfying condition (C) is proved under certain conditions. We extend the well-knownDeMarr's fixed point theorem to the case of noncommuting family of maps satisfying condition (C). As for an application, an invariant approximation theorem is also derived.

Funder

Deanship of Scientific Research, King Abdulaziz University, Jeddah

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2013/206759.pdf

Reference17 articles.

1. Commuting Mappings and Fixed Points

2. Common Fixed Points of Noncommuting Mappings

3. Invariant Approximations and R-Subweakly Commuting Maps

4. Common fixed-points for Banach operator pairs in best approximation

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1. Some common fixed point and invariant approximation results for nonexpansive mappings in convex metric space;Fixed Point Theory and Applications;2014-09-02

2. A comparison of various noncommuting conditions in metric fixed point theory and their applications;Fixed Point Theory and Applications;2014-02-13