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

Year 2019, Volume: 2 Issue: 2, 83 - 91, 30.08.2019

Chi-ming Chen , Chao-chung Kuo

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.

Keywords

Best proximity points, Cyclic Meir-Keeler-Kannan-Chatterjea contraction, Cyclic Meir-Keeler-Kannan-Chatterjea contractive pair, Metric space

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