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Tripled best proximity point in complete metric spaces

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Abstract In this paper, we introduce a new type of contraction to seek the existence of tripled best proximity point results. Here, using the new contraction and P-property, we generalize… Click to show full abstract

Abstract In this paper, we introduce a new type of contraction to seek the existence of tripled best proximity point results. Here, using the new contraction and P-property, we generalize and extend results of W. Shatanawi and A. Pitea and prove the existence and uniqueness of some tripled best proximity point results. Examples are also given to support our results.

Keywords: proximity point; tripled best; point complete; best proximity

Journal Title: Open Mathematics
Year Published: 2020

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