Best Proximity Points for Generalized Geraghty Quasi-Contraction Type Mappings in Metric Spaces

Abstract

In this paper, we introduce a new concept of α-φ-Geraghty proximal quasi-contraction type mappings and establish best proximity point theorems for those mappings in proximal T-orbitally complete metric spaces. This generalizes and complements the proofs of some known fixed and best proximity point results.