Fixed Point Theory and Applications · 2012 · 90 citations · 9 references
Mathematical ProgrammingDiscrete GeometryEngineeringGeometrySufficient ConditionsExtremal Set TheoryFunctional AnalysisMetric Graph Theory
Abstract The purpose of this paper is to provide sufficient conditions for the existence of a unique best proximity point for Geraghty-contractions. Our paper provides an extension of a result due to Geraghty (Proc. Am. Math. Soc. 40:604-608, 1973).
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