Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair

Abstract

In this paper, a new type of non-self-mapping, called Berinde MT-cyclic contractions, is introduced and studied. Best proximity point theorems for this type of mappings in a metric space are presented. Some examples illustrating our main results are also given. Our results generalize and improve some known results in the literature.

Best Proximity Points for Alternative Maps

“…The contribution of Eldred and Veeramani was to create the cyclic contraction. Many authors have created several different contractions by modifying Eldred and Veeramani; see e.g., [5][6][7][8][9][10][11][12][13][14][15][16][17][18]. In this paper, we define a new map which is concerned with the alternative n-sets methodology instead of 2-sets or sequentially n-sets as follows: Definition 3.…”