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

Authors:	Wutiphol Sintunavarat Poom Kumam

Institution:	Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand

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.

Keywords:	Common fixed points Generalized multi-valued _method=retrieve& _eid=1-s2 0-S0893965911003363& _mathId=si1 gif& _pii=S0893965911003363& _issn=08939659& _acct=C000053510& _version=1& _userid=1524097& md5=e0a6e0c711f68fe85b66172611e08a60')" style="cursor:pointer (f" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">(f α L)-weak contraction mappings Generalized multi-valued _method=retrieve& _eid=1-s2 0-S0893965911003363& _mathId=si2 gif& _pii=S0893965911003363& _issn=08939659& _acct=C000053510& _version=1& _userid=1524097& md5=0b5e87307f5cbbb2d9b89e218e932ad3')" style="cursor:pointer (f" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">(f α β)-weak contraction mappings Hybrid generalized multi-valued contraction mappings
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