Munich Personal RePEc Archive

Quasi-variational Inequalities with Non-compact Sets

Tian, Guoqiang and Zhou, Jianxin (1990): Quasi-variational Inequalities with Non-compact Sets. Published in: Journal of Mathematical Analysis and Applications , Vol. 160, (1991): pp. 583-595.


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In this paper, we first generalize a foundational quasi-variational inequality (Theorem 3) which plays a key role throughout this paper by relaxing the compactness condition. Then we set up general forms of (generalized) quasi-variational inequalities and obtain a series of existence theorems without the compactness assumption. Also, since many other quasi-variational inequalities in the literature are special cases of ours, they can be generalized by our results.

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