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Dergiler / 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
Sayfa
83–91
Yayın Tarihi
2019-08-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Our results generalize or improve many recent best proximity point theorems in the literature.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (14)

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