Best proximity point theorems for KT-types cyclic orbital contraction mappings (Q2873971)
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scientific article; zbMATH DE number 6251069
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Best proximity point theorems for KT-types cyclic orbital contraction mappings |
scientific article; zbMATH DE number 6251069 |
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28 January 2014
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best proximity point
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cyclic contraction
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KT-type cyclic orbital contraction
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cyclic orbital Meir-Keeler contraction
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Best proximity point theorems for KT-types cyclic orbital contraction mappings (English)
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The Banach fixed point theorem for cyclic contractions and the notion of a best proximity point were presented by \textit{W. A. Kirk} et al. [Fixed Point Theory 4, No. 1, 79--89 (2003; Zbl 1052.54032)]. Motivated by the work of \textit{S. Karpagam} and \textit{S. Agrawal} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 4, 1040--1046 (2011; Zbl 1206.54047)], the authors introduce new types of cyclic orbital contractions called KT-types and present some related best proximity point theorems for these contractions in complete metric spaces. Moreover, some fixed point results for KT-types cyclic orbital Meir-Keeler contractions are proved.
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