A global optimality result using Geraghty type contraction
In this paper we prove two proximity point results for finding the distance between two sets. Unlike the best approximation theorems they provide with globally optimal values. Here our approach is to reduce the problem to that of finding optimal approximate solutions of some fixed point equations. W...
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Balikesir University
2014-07-01
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Series: | An International Journal of Optimization and Control: Theories & Applications |
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Online Access: | http://ijocta.balikesir.edu.tr/index.php/files/article/view/184/105 |
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doaj-e875156babfb467c984214e30e667f0d2020-11-24T21:29:59ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications 2146-09572146-57032014-07-01429910410.11121/ijocta.01.2014.00184A global optimality result using Geraghty type contractionBinayak S. ChoudhuryPranati MaityP. KonarIn this paper we prove two proximity point results for finding the distance between two sets. Unlike the best approximation theorems they provide with globally optimal values. Here our approach is to reduce the problem to that of finding optimal approximate solutions of some fixed point equations. We use Geraghty type contractive inequalities in our theorem. Two illustrative examples are given.http://ijocta.balikesir.edu.tr/index.php/files/article/view/184/105Contractionproximity pointmetric spaceglobal minimafixed point. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Binayak S. Choudhury Pranati Maity P. Konar |
spellingShingle |
Binayak S. Choudhury Pranati Maity P. Konar A global optimality result using Geraghty type contraction An International Journal of Optimization and Control: Theories & Applications Contraction proximity point metric space global minima fixed point. |
author_facet |
Binayak S. Choudhury Pranati Maity P. Konar |
author_sort |
Binayak S. Choudhury |
title |
A global optimality result using Geraghty type contraction |
title_short |
A global optimality result using Geraghty type contraction |
title_full |
A global optimality result using Geraghty type contraction |
title_fullStr |
A global optimality result using Geraghty type contraction |
title_full_unstemmed |
A global optimality result using Geraghty type contraction |
title_sort |
global optimality result using geraghty type contraction |
publisher |
Balikesir University |
series |
An International Journal of Optimization and Control: Theories & Applications |
issn |
2146-0957 2146-5703 |
publishDate |
2014-07-01 |
description |
In this paper we prove two proximity point results for finding the distance between two sets. Unlike the best approximation theorems they provide with globally optimal values. Here our approach is to reduce the problem to that of finding optimal approximate solutions of some fixed point equations. We use Geraghty type contractive inequalities in our theorem. Two illustrative examples are given. |
topic |
Contraction proximity point metric space global minima fixed point. |
url |
http://ijocta.balikesir.edu.tr/index.php/files/article/view/184/105 |
work_keys_str_mv |
AT binayakschoudhury aglobaloptimalityresultusinggeraghtytypecontraction AT pranatimaity aglobaloptimalityresultusinggeraghtytypecontraction AT pkonar aglobaloptimalityresultusinggeraghtytypecontraction AT binayakschoudhury globaloptimalityresultusinggeraghtytypecontraction AT pranatimaity globaloptimalityresultusinggeraghtytypecontraction AT pkonar globaloptimalityresultusinggeraghtytypecontraction |
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1725964631420174336 |