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Zbl 1022.90023
Ansari, Qamrul Hasan; Flores-Bazán, Fabián
Generalized vector quasi-equilibrium problems with applications. (English)
[J] J. Math. Anal. Appl. 277, No.1, 246-256 (2003). ISSN 0022-247X

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 2000:: *90C29 Multi-objective programming, etc.
91A40 Game-theoretic models

Keywords: generalized vector quasi-equilibrium problem; vector quasi-optimization; problem; regular $C$-quasi-saddle point; $\Phi$-condensing maps; subdifferential

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