Best proximity point results for MK-proximal contractions (Q1938135)
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scientific article; zbMATH DE number 6134034
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Best proximity point results for MK-proximal contractions |
scientific article; zbMATH DE number 6134034 |
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Best proximity point results for MK-proximal contractions (English)
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4 February 2013
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Summary: Let \(A\) and \(B\) be nonempty subsets of a metric space with the distance function \(d\), and \(T : A \rightarrow B\) is a given non-self-mapping. The purpose of this paper is to solve the nonlinear programming problem that consists in minimizing the real-valued function \(x \mapsto d(x, Tx)\), where \(T\) belongs to a new class of contractive mappings. We provide also an iterative algorithm to find a solution of such optimization problems.
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metric space
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non-self-mapping
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nonlinear programming
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contractive mapping
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iterative algorithm
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0.95622534
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0.9472524
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0.9311042
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0.92785525
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0.9245862
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0.9216371
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0.9194288
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0.9182119
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