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

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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: 11

Start page: 1849

End page: 1855

Number of pages: 7

ISSN: 0893-9659

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84865640319&doi=10.1016%2fj.aml.2012.02.045&partnerID=40&md5=db3ff8e9f933bcaf92e50e4638f0d5c0

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we extend a multi-valued contraction mapping to a cyclic multi-valued contraction mapping. We also establish the existence of common fixed point theorem for a cyclic multi-valued contraction mapping. Our results extend, generalize and unify Nadler's multi-valued contraction mapping and many fixed point theorems for multivalued mappings. ฉ 2012 Elsevier Ltd.

Keywords

Cyclic generalized multi-valued contraction mappings, Generalized multi-valued (f , a, β)-weak contraction mappings