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The general vector alpha optimization problems (GVOP)_alpha are formulated and sufficient conditions on the existence of solutions are shown. Firstly, under suitable assumptions, we obtain several results on the existence of solutions of (GVOP)_I, (GVOP)_P, (GVOP)_Pr and (GVOP)_W. Secondly, as an application, several results on the existence of solutions of upper quasivariational inclusion problem (UQVIP) and lower quasivariational inclusion problem (LQVIP) are also provided.
How to Cite this Article:
Tran Van Su, On the existence of solutions of a general vector Alpha optimization problem and its applications, Communications in Optimization Theory 2016 (2016), Article ID 19.