Common fixed point theorem for hybrid generalized multi-valued contraction mappings

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Sintunavarat W., Kumam P.

Publisher: Elsevier

Publication year: 2012

Journal: Applied Mathematics Letters (0893-9659)

Volume number: 25

Issue number: 1

Start page: 52

End page: 57

Number of pages: 6

ISSN: 0893-9659

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-80052026285&doi=10.1016%2fj.aml.2011.05.047&partnerID=40&md5=03a30475aadfa2fe914f18a171ef9f31

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we introduce the notion of a hybrid generalized multi-valued contraction mapping and establish the common fixed point theorem for this mapping. Our results generalize, unify, extend and complement several common fixed point theorems of many authors in the literature. ฉ 2011 Elsevier Ltd. All rights reserved.

Keywords

Generalized multi-valued (f, α, L) -weak contraction mappings, Generalized multi-valued (f, α, β) -weak contraction mappings, Hybrid generalized multi-valued contraction mappings