Coupled best proximity point theorems for $p$-cyclic $\ddot{I}•$-contraction and $p$-cyclic Kannan nonexpansive mappings

Abstract

In this paper, the notions of $p$-cyclic $\ddot{I}•$-contraction and $p$-cyclic Kannan nonexpansive mappings are introduced, and the existence of coupled best proximity points for such mappings is established.

14 pages