Fixed Points of Multivalued Nonself Almost Contractions

We consider multivalued nonself-weak contractions on convex metric spaces and establish the existence of a fixed point of such mappings. Presented theorem generalizes results of M. Berinde and V. Berinde (2007), Assad and Kirk (1972), and many others existing in the literature.

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Main Authors: Maryam A. Alghamdi, Vasile Berinde, Naseer Shahzad
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/621614
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author Maryam A. Alghamdi
Vasile Berinde
Naseer Shahzad
author_facet Maryam A. Alghamdi
Vasile Berinde
Naseer Shahzad
author_sort Maryam A. Alghamdi
collection DOAJ
description We consider multivalued nonself-weak contractions on convex metric spaces and establish the existence of a fixed point of such mappings. Presented theorem generalizes results of M. Berinde and V. Berinde (2007), Assad and Kirk (1972), and many others existing in the literature.
format Article
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institution Kabale University
issn 1110-757X
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language English
publishDate 2013-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-9f6ee7955129499baaa36f81e607a2852025-02-03T01:23:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/621614621614Fixed Points of Multivalued Nonself Almost ContractionsMaryam A. Alghamdi0Vasile Berinde1Naseer Shahzad2Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, P.O. Box 4087, Jeddah 21491, Saudi ArabiaDepartment of Mathematics and Computer Science, North University of Baia Mare, Baia Mare, RomaniaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21859, Saudi ArabiaWe consider multivalued nonself-weak contractions on convex metric spaces and establish the existence of a fixed point of such mappings. Presented theorem generalizes results of M. Berinde and V. Berinde (2007), Assad and Kirk (1972), and many others existing in the literature.http://dx.doi.org/10.1155/2013/621614
spellingShingle Maryam A. Alghamdi
Vasile Berinde
Naseer Shahzad
Fixed Points of Multivalued Nonself Almost Contractions
Journal of Applied Mathematics
title Fixed Points of Multivalued Nonself Almost Contractions
title_full Fixed Points of Multivalued Nonself Almost Contractions
title_fullStr Fixed Points of Multivalued Nonself Almost Contractions
title_full_unstemmed Fixed Points of Multivalued Nonself Almost Contractions
title_short Fixed Points of Multivalued Nonself Almost Contractions
title_sort fixed points of multivalued nonself almost contractions
url http://dx.doi.org/10.1155/2013/621614
work_keys_str_mv AT maryamaalghamdi fixedpointsofmultivaluednonselfalmostcontractions
AT vasileberinde fixedpointsofmultivaluednonselfalmostcontractions
AT naseershahzad fixedpointsofmultivaluednonselfalmostcontractions