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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Bibliographic Details
Main Authors:	Binayak S. Choudhury, Pranati Maity, P. Konar
Format:	Article
Language:	English
Published:	Balikesir University 2014-07-01
Series:	An International Journal of Optimization and Control: Theories & Applications
Subjects:	Contraction proximity point metric space global minima fixed point.
Online Access:	http://ijocta.balikesir.edu.tr/index.php/files/article/view/184/105

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spelling	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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A global optimality result using Geraghty type contraction

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