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Document Details
Document Type
:
Article In Journal
Document Title
:
Best proximity sets and equilibrium pairs for a finite family of multimaps
Best proximity sets and equilibrium pairs for a finite family of multimaps
Subject
:
Mthematics
Document Language
:
English
Abstract
:
We establish the existence of a best proximity pair for which the best proximity set is nonempty for a finite family of multimaps whose product is either an UCκ-multimap or a multimap T: A → 2B such that both T and S ○ T are closed and have the KKM property for each Kakutani multimap S : B → 2A. As applications, we obtain existence theorems of equilibrium pairs for free n-person games as well as for free 1-person games. Our results extend and improve several well-known and recent results.
ISSN
:
1687-1820
Journal Name
:
Fixed Point Theory and Applications, 2008, art. no. 457069
Volume
:
457069
Issue Number
:
457069
Publishing Year
:
2008 AH
2008 AD
Number Of Pages
:
10
Article Type
:
Article
Added Date
:
Thursday, October 15, 2009
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
محمد أحمد عمر الثقفي
Mohammed Ahmed Al-Thagafi
Researcher
Doctorate
malthagafi@kau.edu.sa
نصير شهزاد محمد ايوب
Naseer Shahzad
Researcher
Doctorate
nshahzad@kaau.edu.sa
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