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Generalized vector quasi-equilibrium problems with applications. (English) Zbl 1022.90023
Summary: We consider the generalized vector quasi-equilibrium problem with or without involving $\Phi$-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.

##### MSC:
 90C29 Multi-objective programming; goal programming 91A40 Game-theoretic models
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##### References:
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