EXISTENCE OF SYSTEMS OF GENERALIZED VECTOR QUASI-EQUILIBRIUMS IN PRODUCT FC-SPACES

Authors

  • K. Sombut Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
  • S. Plubtieng Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Keywords:

Systems of generalized vector quasi-equilibrium problem, Ci(x)−FC−diagonal quasi-convex, Ci(x)−FC−quasi-convex, Ci(x)−FC−quasi-convex-like, FC-spaces

Abstract

In this paper, three classes of systems of generalized vector quasi-equilibrium problems are introduced and studied in product FCspaceswithoutconvexity structure. We prove some new equilibrium existence theorems for three classes of systems of generalized vector quasi-equilibrium problems in noncompact product FCspaces.These results improve and generalize some recent results in literature to product FCspaceswithout any convexity structure.

Additional Files

Published

12/21/2011

How to Cite

Sombut, K., & Plubtieng, S. (2011). EXISTENCE OF SYSTEMS OF GENERALIZED VECTOR QUASI-EQUILIBRIUMS IN PRODUCT FC-SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 2(1), 167–179. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2625

Issue

Vol. 2 No. 1 (2011): JNAO

Section

Research Articles

License

Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

Creative Commons License

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

Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.