Remarks on generalized quasi-equilibrium problems

Authors:
Ming-Po Chen;Lai-Jiu Lin;Sehie Park
Affiliations:
Institute of Mathematics, Academia Sinica, Taipei, 115, Taiwan;Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan;School of Mathematical Sciences, Seoul National University, Seoul 151-742, South Korea
Venue:
Nonlinear Analysis: Theory, Methods & Applications
Year:
2003

Citing 3
Cited 5

Lower semicontinuity of multivalued mappings and equilibrium points

WCNA '92 Proceedings of the first world congress on World congress of nonlinear analysts '92, volume II
On some equilibrium problems for multimaps

Journal of Computational and Applied Mathematics - Special issue on nonlinear programming and variational inequalities
Fixed points and quasi-equilibrium problems

Mathematical and Computer Modelling: An International Journal

Existence Theorems of Simultaneous Equilibrium Problems and Generalized Vector Quasi-Saddle Points

Journal of Global Optimization
References on Vector Variational Inequalities

Journal of Global Optimization
System of Generalized Vector Quasi-Equilibrium Problems with Applications to Fixed Point Theorems for a Family of Nonexpansive Multivalued Mappings

Journal of Global Optimization
Systems of equilibrium problems with applications to new variants of Ekeland's variational principle, fixed point theorems and parametric optimization problems

Journal of Global Optimization
Generalizations of vector quasivariational inclusion problems with set-valued maps

Journal of Global Optimization

Quantified Score

Hi-index	0.00

Visualization

Abstract

Our main aim in this paper is to obtain fundamental existence theorems of quasi-equilibrium problems and generalized quasi-equilibrium problems of multivalued functions. We use a continuous selection theorem to show that the existence theorems of generalized quasi-equilibrium problems are simple consequences of the corresponding quasi-equilibrium problems. We use a generalization of Himmelberg's theorem due to the third author for not necessary locally convex topological vector spaces to prove the existence theorems of quasi-equilibrium problems for multivalued functions.