Applied General Topology · 2014 · 10 citations · 12 references
Natural SciencesMathematicsGeometryFixed Point TheoryFixed PointsMetric GeometryMetric SpacesContraction MappingsContractive MappingsGeneralized Metric SpacesMetric Fixed Point TheoryUniqueness Of Fixed Points
In this article we establish the existence of a unique best proximity point for some generalized non self contractions on a metric space in a simpler way using a geometric result. Our results generalize some recent best proximity point theorems and several fixed point theorems proved by various authors.
12
David W. Boyd, J. S. W. Wong · Proceedings of the American Mathematical Society · 1969 · 1K citations · Full text
Natural Sciences, Surgery, Topology +11
Some theorems on weakly contractive maps
Β. E. Rhoades · Nonlinear Analysis · 2001 · 665 citations