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

被引:76
|
作者
Nicolae, Adriana [1 ]
O'Regan, Donal [2 ]
Petrusel, Adrian [1 ]
机构
[1] Univ Babes Bolyai, Dept Math, Cluj Napoca 400084, Romania
[2] Natl Univ Ireland, Dept Math, Galway, Ireland
关键词
Fixed point; monotone operator; ordered metric space; generalized contraction; multivalued operator; PARTIALLY ORDERED SETS; ORDINARY DIFFERENTIAL-EQUATIONS; ASYMPTOTIC CONTRACTIONS; MAPPINGS;
D O I
10.1515/GMJ.2011.0019
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:307 / 327
页数:21
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