- Results in Nonlinear Analysis
- Vol: 2 Issue: 2
- Best proximity point theorems of cyclic Meir-Keeler-Kannan-Chatterjea contractions
Best proximity point theorems of cyclic Meir-Keeler-Kannan-Chatterjea contractions
Authors : Chi-ming Chen, Chao-chung Kuo
Pages : 83-91
View : 16 | Download : 8
Publication Date : 2019-08-30
Article Type : Research
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