Discontinuous implicit quasi-variational inequalities with applications to fuzzy mappings |
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| Authors: | Paolo Cubiotti Jen-Chih Yao |
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| Institution: | (1) Department of Mathematics, University of Messina, 98166 Sant'Agata-Messina, Italy;(2) Department of Applied Mathematics, National Sun Yat-sen University, 80424 Kaohsiung, Taiwan, ROC |
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| Abstract: | In this paper, we consider the implicit quasi-variational inequality without continuity assumptions of data mappings. Our approach here is completely different from the one based on KKM theorem in the literature. Interesting applications to generalized quasi-variational inequalities for both discontinuous mappings and discontinuous fuzzy mappings are given.This paper was partially supported by the NSC grant no. 86-2115-M-110-004. |
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| Keywords: | Quasi-variational inequalities lower semicontinuity fixed points discontinuous mappings |
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