Volume 5, Issue 2 (11-2010)
IJMSI 2010, 5(2): 1-11 |
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Abbasi M, Pourbarat K. The System of Vector Variational-like Inequalities with Weakly Relaxed ${eta_gamma-alpha_gamma}_{gamma inGamma}$ Pseudomonotone Mappings in Banach Spaces. IJMSI 2010; 5 (2) :1-11
URL: http://ijmsi.ir/article-1-136-en.html
URL: http://ijmsi.ir/article-1-136-en.html
Abstract:
In this paper, we introduce two concepts of weakly relaxed ${eta_gamma-alpha_gamma}_{gamma in Gamma}$ pseudomonotone and demipseudomonotone mappings in Banach spaces. Then we obtain some results of the solutions existence for a system of vector variational-like inequalities with weakly relaxed ${eta_gamma-alpha_gamma}_{gamma in Gamma}$ pseudomonotone and demipseudomonotone mappings in reflexive Banach spaces. Finally we show that our results improve and extend some corresponding results of Ref [6].
Keywords: Variational-like Inequality, Relaxed $eta-alpha$ Pseudomonotone, Relaxed $eta-alpha$ Demipseudomonotone, $eta$-hemicontinuous Mapping.
Type of Study: Research paper |
Subject:
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