Results in Nonlinear Analysis (Jun 2019)
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 : 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.
