ON THE WEAK AND PARETO QUASI-EQUILIBRIUM PROBLEMS AND THEIR APPLICATIONS

  • Bui The Hung
Keywords: Quasi-equilibrium problems, quasivariational inequalities problems, quasisaddle problems, upper and lower C-convex, upper and lower C-quasiconvex-like multivalued mappings, upper and lower C- continuous multivalued mappings, , C-pseudomonotone and Cstrong pseudomonotone multivalued mappings

Abstract

In this paper, we apply a version of Kakutani’s fixed point theorem to study weak and Pareto quasi-equilibrium problems. Some sufficient conditions on the existence of solutions of weak and Pareto quasi-equilibrium problems with multivalued mappings are shown. As applications, we give several results on the existence of solutions to vector quasivariational inequalities problems and vector Pareto quasi-saddle problems.

Published
2020-02-04