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 ,IR
  • A. P. Farajzadeh
     Department of Mathematics, Razi University, Kermanshah, 67149 ,IR
  • S. M. Vaezpour
     Department of Mathematics, Amirkabir University of Technology, Tehran ,IR

Keywords:

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

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.

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Published

2016-12-01

How to Cite

Rahimi, M., Farajzadeh, A. P., & Vaezpour, S. M. (2016). Existence Results for Generalized Vector Equilibrium Problems under Upper Sign Continuity. The Journal of the Indian Mathematical Society, 83(3-4), 351–362. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/6615

Issue

Volume 83, Issue 3-4, July-December 2016

Section

Articles

License

Copyright (c) 2016 M. Rahimi, A. P. Farajzadeh, S. M. Vaezpour

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

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