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

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J. C. Umudu
J. O. Olaleru
H. Olaoluwa
A. A. Mogbademu


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.

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