
We generalized the notion of proximal contractions of the first and the second kinds and established the best proximity point theorems for these classes. Our results improve and extend recent result of Sadiq Basha (2011) and some authors.
Best Proximity Points, Fixed-point and coincidence theorems (topological aspects), Pure mathematics, Geometry, Linguistics, Discrete mathematics, best proximity point theorems, Generalized Contractions, proximal contractions, FOS: Philosophy, ethics and religion, Philosophy, Fixed Point Theorems in Metric Spaces, Contractive Mappings, Point (geometry), Physical Sciences, QA1-939, FOS: Mathematics, FOS: Languages and literature, Contraction (grammar), Complete metric spaces, Geometry and Topology, Special maps on metric spaces, Mathematics
Best Proximity Points, Fixed-point and coincidence theorems (topological aspects), Pure mathematics, Geometry, Linguistics, Discrete mathematics, best proximity point theorems, Generalized Contractions, proximal contractions, FOS: Philosophy, ethics and religion, Philosophy, Fixed Point Theorems in Metric Spaces, Contractive Mappings, Point (geometry), Physical Sciences, QA1-939, FOS: Mathematics, FOS: Languages and literature, Contraction (grammar), Complete metric spaces, Geometry and Topology, Special maps on metric spaces, Mathematics
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