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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832549844537835520 |
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| author | Mohamed Jleli Erdal Karapınar Bessem Samet |
| author_facet | Mohamed Jleli Erdal Karapınar Bessem Samet |
| author_sort | Mohamed Jleli |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-31aedad5b766486d8c225ddabac455ea |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-31aedad5b766486d8c225ddabac455ea2025-02-03T06:08:21ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/193085193085Best Proximity Point Results for MK-Proximal ContractionsMohamed Jleli0Erdal Karapınar1Bessem Samet2Department of Mathematics, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics, Atilim University, İncek, 06836, Ankara, TurkeyDepartment of Mathematics, King Saud University, Riyadh, Saudi ArabiaLet 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.http://dx.doi.org/10.1155/2012/193085 |
| spellingShingle | Mohamed Jleli Erdal Karapınar Bessem Samet Best Proximity Point Results for MK-Proximal Contractions Abstract and Applied Analysis |
| title | Best Proximity Point Results for MK-Proximal Contractions |
| title_full | Best Proximity Point Results for MK-Proximal Contractions |
| title_fullStr | Best Proximity Point Results for MK-Proximal Contractions |
| title_full_unstemmed | Best Proximity Point Results for MK-Proximal Contractions |
| title_short | Best Proximity Point Results for MK-Proximal Contractions |
| title_sort | best proximity point results for mk proximal contractions |
| url | http://dx.doi.org/10.1155/2012/193085 |
| work_keys_str_mv | AT mohamedjleli bestproximitypointresultsformkproximalcontractions AT erdalkarapınar bestproximitypointresultsformkproximalcontractions AT bessemsamet bestproximitypointresultsformkproximalcontractions |