Equilibrium Problems and Minimax Inequalities for Mappings with Noncompact Domain
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Authors
Mahdiyeh Farshidzad
- Department of Mathematics, Sheikh Bahai University, Isfahan, IRAN.
Abstract
In this paper we consider equilibrium problem and introduce minimization problem such as equilibrium problem. We also investigated minimax inequalitiy of Ky Fan and we proved a minimax inequality of mapping with non-compact domain by using the coincidence theorem, then given a minimax inequality for mappings with noncompact domain. As its direct consequences some minimax inequalities and minimax theorems are obtained.
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ISRP Style
Mahdiyeh Farshidzad, Equilibrium Problems and Minimax Inequalities for Mappings with Noncompact Domain, Journal of Mathematics and Computer Science, 9 (2014), no. 3, 157 - 164
AMA Style
Farshidzad Mahdiyeh, Equilibrium Problems and Minimax Inequalities for Mappings with Noncompact Domain. J Math Comput SCI-JM. (2014); 9(3):157 - 164
Chicago/Turabian Style
Farshidzad, Mahdiyeh. "Equilibrium Problems and Minimax Inequalities for Mappings with Noncompact Domain." Journal of Mathematics and Computer Science, 9, no. 3 (2014): 157 - 164
Keywords
- Equilibrium problem
- Minimax theorem
- Ky Fan’s inequality
- Noncompact domain.
MSC
References
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