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Journals / Results in Nonlinear Analysis / 2019 / Cilt: 2 - Sayı: 2

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

Chi-ming CHEN
Chao-chung KUO
Pages
83–91
Publication Date
2019-08-30
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Our results generalize or improve many recent best proximity point theorems in the literature.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact:Our results generalize or improve many recent best proximity point theorems in the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Best proximity points · Cyclic Meir-Keeler-Kannan-Chatterjea contraction · Cyclic Meir-Keeler-Kannan-Chatterjea contractive pair

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.

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Cite This Article

CHEN, C., KUO, C. (2019). Best proximity point theorems of cyclic Meir-Keeler-Kannan-Chatterjea contractions. Results in Nonlinear Analysis, Cilt: 2 - Sayı: 2, 83–91. https://ajindex.com/articles/797776

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