Communications in mathematical analysis · 2012 · 114 citations · 0 references
Natural SciencesMathematicsGeometrySet TheoryTopologyFixed Point TheoryFixed PointsMetric GeometryMetric SpacesContinuous MappingsContraction MappingsContractive MappingsExistence Of Fixed PointsFixed Point PropertyMetric Fixed Point TheoryOrdered Metric SpacesTopological Fixed Point Theory
In this paper, we establish fixed point theorems for contractive mappings on a metric space endowed with an amorphous binary relation. The presented theorems extend and generalize many existing results on metric and ordered metric spaces. We apply also our main result to derive fixed point theorems for cyclical contractive mappings.