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Existence Results for Generalized Vector Equilibrium Problems under Upper Sign Continuity


Affiliations
1 Department of Mathematics, College of Basic Science, Tehran Science and Research Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of
2 Department of Mathematics, Razi University, Kermanshah, 67149, Iran, Islamic Republic of
3 Department of Mathematics, Amirkabir University of Technology, Tehran, Iran, Islamic Republic of
     

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In this paper, two kinds of the upper sign-continuity and pseudo-monotonicity in the setting of multivalued bifunctions with moving cones are introduced. Moreover,by applying the new definitions of the upper sign-continuity and pseudo-monotonicity via KKM theory, some existence results of solutions for two kinds of the generalized vector equilibrium problems are established. The results of the paper can be viewed as the extensions of the corresponding results in this area.

Keywords

C-Upper Sign Continuity, KKM-Mapping, Generalized Vector Equilibrium Problems, C-Pseudomonotone.
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  • Existence Results for Generalized Vector Equilibrium Problems under Upper Sign Continuity

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Authors

M. Rahimi
Department of Mathematics, College of Basic Science, Tehran Science and Research Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of
A. P. Farajzadeh
Department of Mathematics, Razi University, Kermanshah, 67149, Iran, Islamic Republic of
S. M. Vaezpour
Department of Mathematics, Amirkabir University of Technology, Tehran, Iran, Islamic Republic of

Abstract


In this paper, two kinds of the upper sign-continuity and pseudo-monotonicity in the setting of multivalued bifunctions with moving cones are introduced. Moreover,by applying the new definitions of the upper sign-continuity and pseudo-monotonicity via KKM theory, some existence results of solutions for two kinds of the generalized vector equilibrium problems are established. The results of the paper can be viewed as the extensions of the corresponding results in this area.

Keywords


C-Upper Sign Continuity, KKM-Mapping, Generalized Vector Equilibrium Problems, C-Pseudomonotone.

References