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Best proximity point theorems of cyclic meir-keeler-kannan-chatterjea contractions
Journal article

Best proximity point theorems of cyclic meir-keeler-kannan-chatterjea contractions

Chi-Ming Chen and Chao-Chung Kuo
Results in Nonlinear Analysis, Vol.2(2), pp.83-91
2019

Abstract

Best proximity points Cyclic Meir-Keeler-Kannan-Chatterjea contraction Cyclic Meir-Keeler-Kannan-Chatterjea contractive pair Metric space Analysis Applied Mathematics Geometry and Topology Mathematics (miscellaneous)
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: A ∪ B → A ∪ B and cyclic Meir-Keeler-Kannan-Chatterjea contractive pair (T, S) of mappings T: A → B and S: B → 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.

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