Best Proximity Point Results for MK-Proximal Contractions
Let A and B be nonempty subsets of a metric space with the distance function d, and T:A→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↦d(x,Tx), where T belongs to a new class of contractive...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/193085 |
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| Summary: | Let A and B be nonempty subsets of a metric space with the distance function d, and
T:A→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↦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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| ISSN: | 1085-3375 1687-0409 |