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Best proximity point results for modified α-proximal C-contraction mappings
Poom KumamPeyman SalimiCalogero Vetrosubject
Pure mathematicsInjective metric spaceApplied Mathematicsmetric spacebest proximity pointFixed pointTopologyConvex metric spaceIntrinsic metricLeast fixed pointMetric spacefixed pointSettore MAT/05 - Analisi MatematicaMetric mapGeometry and TopologyCoincidence pointMathematicsdescription
First we introduce new concepts of contraction mappings, then we establish certain best proximity point theorems for such kind of mappings in metric spaces. Finally, as consequences of these results, we deduce best proximity point theorems in metric spaces endowed with a graph and in partially ordered metric spaces. Moreover, we present an example and some fixed point results to illustrate the usability of the obtained theorems. MSC:46N40, 46T99, 47H10, 54H25.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-04-16 | Fixed Point Theory and Applications |