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

Authors : Chiming CHEN, Chaochung KUO

Pages : 83-91

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Publication Date : 2019-08-30

Article Type : Research Paper

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 insert ignore into journalissuearticles values(A  union B); to  insert ignore into journalissuearticles values(A union B); and cyclic Meir-Keeler-Kannan-Chatterjea contractive pair insert ignore into journalissuearticles values(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