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Generalized vector quasi-equilibrium problems with applications |
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| Authors: | Qamrul Hasan Ansari Fabián Flores-Bazán |
| Institution: | a Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India b G.I2.M.A., Departamento de Ingenier?́a Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile |
| Abstract: | 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. |
| Keywords: | Generalized vector quasi-equilibrium problem Vector quasi-optimization problem Regular C-quasi-saddle point Φ-condensing maps Subdifferential |
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