Tripled best proximity point in complete metric spaces

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

• best proximity point
• almost contraction
• best proximity coupled point
• tripled best proximity point
• metric space
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