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

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

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.

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Veröffentlicht in:Georgian mathematical journal 2011-06, Vol.18 (2), p.307-327
Hauptverfasser: Nicolae, Adriana, O'Regan, Donal, Petruşel, Adrian
Format: Artikel
Sprache:eng
Schlagworte:
Fixed point
generalized contraction
monotone operator
multivalued operator
ordered metric space
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Zusammenfassung: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.
ISSN:1072-947X
1072-9176
1572-9176
DOI:10.1515/gmj.2011.0019