A best proximity point theorem for Suzuki type contraction non-self-mappings (Q2863546)
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scientific article; zbMATH DE number 6232003
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A best proximity point theorem for Suzuki type contraction non-self-mappings |
scientific article; zbMATH DE number 6232003 |
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22 November 2013
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best proximity point
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fixed point
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contraction non-self-mapping
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P-property
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A best proximity point theorem for Suzuki type contraction non-self-mappings (English)
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In this paper, the authors prove existence and uniqueness best proximity pair theorems for a non-self-mapping \(T: A \to B\) (where \(A\) and \(B\) are nonempty subsets of a metric space \(X\)) such that \(T\) is a contraction mapping in the sense of \textit{T. Suzuki} [Proc. Am. Math. Soc. 136, No.~5, 1861--1869 (2008; Zbl 1145.54026)]. Examples are given in support of the main result.
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