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

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Published: Apr 5, 2023
Vol. 3 (2023), 16
DOI: https://doi.org/10.28924/ada/ma.3.16

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J. C. Umudu
Department of Mathematics, Faculty of Natural Sciences, University of Jos, Nigeria
J. O. Olaleru
Department of Mathematics, Faculty of Science, University of Lagos, Nigeria
H. Olaoluwa
Department of Mathematics, Faculty of Science, University of Lagos, Nigeria
A. A. Mogbademu
Department of Mathematics, Faculty of Science, University of Lagos, Nigeria

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.

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Vol. 3 (2023)
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