Generalized Vector Quasi-equilibrium Problems Research Articles

Generalized vector quasi-equilibrium problems with applications

In this paper, we consider the generalized vector quasi-equilibrium problem with or without involving Φ-condensing maps and prove the existence of its solution by using known fixed point and maximal element theorems. As applications of our results, we derive some existence results for a solution to the vector quasi-optimization problem for nondifferentiable functions and vector quasi-saddle point problem.

Generalized vector quasi-equilibrium problems

The properly quasi-convexity of multivalued mappings in an ordered vector space is introduced. Existence theorems for generalized vector quasi-equilibrium problems and multivalued vector equilibrium problems are obtained.