Best proximity point theorems of cyclic Meir-Keeler-Kannan-Chatterjea contractions

Abstract

In this study, by using the Meir-Keeler mapping, cyclic Kannan contraction and cyclic Chatterjee contraction, we establish the notions of cyclic Meir-Keeler-Kannan-Chatterjea contraction T from (A union B) to (A union B) and cyclic Meir-Keeler-Kannan-Chatterjea contractive pair (T,S) of mappings T from A to B and S from B to A , and then we prove some best proximity point theorems for these various types of cyclic contractions. Our results generalize or improve many recent best proximity point theorems in the literature.