GERAGHTY PROXIMAL CONTRACTION TYPE MAPPINGS AND RJ-PROPERTY IN bv(s) -METRIC SPACES

Abstract

In this article, we will determine the best proximity point results for the Geraghty proximal contraction type mappings in a more general space called the bv(s)-metric space, and prove the existence of the best proximity point for such mappings which satisfy the RJ-Property. We also derive some consequences as a justification for the validity of the main result. The results presented here extend, generalize, and integrate many previous results in the literature.

Keywords

• best proximity point
• Geraghty proximal contraction
• RJ-Property
• bv(s) metric space

Kaynakça

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