National Changhua University of Education Institutional Repository : Item 987654321/8937

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/8937

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/8937

Title:	Equivalent Forms of a Generalized KKM Theorems and Their Applications
Authors:	Mircea Balaj;Lai-Jiu Lin
Contributors:	數學系
Keywords:	Variational relation problem;Better admissible class;KKM theorem;Coincidence theorem;Variational inclusion problem;Maximal element theorem;Common fixed point theorem
Date:	2010-08
Issue Date:	2011-05-10T06:51:16Z
Publisher:	Elsevier Science
Abstract:	In this paper, we study various types of variational relation problems. We establish the existence of solutions for these types of problems and point out some important particular cases and their applications. We also show that some existence theorems of solution for these types of problems and some existence theorems of variational inclusion problems are equivalent to a generalized KKM theorem. Applying our results we obtain existence theorems of common fixed point, generalized maximal element theorems, a generalized coincidence theorems and a section theorem.
Relation:	Nonlinear Analysis: Theory, Methods & Applications, 73(3):673-682
Appears in Collections:	[math] Periodical Articles

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