Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph

Adriana Nicolae; Donal O'Regan; Adrian Petruşel

doi:10.1515/gmj.2011.0019

Published by De Gruyter May 2, 2011

Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph

Adriana Nicolae , Donal O'Regan and Adrian Petruşel

From the journal Georgian Mathematical Journal

https://doi.org/10.1515/gmj.2011.0019

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Abstract

The purpose of this paper is to present some fixed point results for self-generalized (singlevalued and multivalued) contractions in ordered metric spaces and in metric spaces endowed with a graph. Our theorems generalize and extend some recent results in the literature.

Keywords.: Fixed point; monotone operator; ordered metric space; generalized contraction; multivalued operator

Received: 2010-01-15

Revised: 2010-11-04

Published Online: 2011-05-02

Published in Print: 2011-June

Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph

Abstract

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