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Best proximity point theorems for rational proximal contractions
Hemant Kumar NashineCalogero VetroPoom Kumamsubject
Discrete mathematicsPure mathematicsMetric spaceDifferential geometrySettore MAT/05 - Analisi MatematicaApplied MathematicsProximity problemsUniquenessGeometry and TopologyFixed pointPoint theorybest proximity point contraction fixed point generalized proximal contraction optimal approximate solutionMathematicsdescription
Abstract We provide sufficient conditions which warrant the existence and uniqueness of the best proximity point for two new types of contractions in the setting of metric spaces. The presented results extend, generalize and improve some known results from best proximity point theory and fixed-point theory. We also give some examples to illustrate and validate our definitions and results. MSC:41A65, 46B20, 47H10.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-04-12 | Fixed Point Theory and Applications |