Variational conclusions of set-valued bifunctions on convex subsets of Banach spaces with applications |
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| Authors: | Qinghai He |
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| Affiliation: | Department of Mathematics, Yunnan University, Yunnan, Kunming 650091, PR China |
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| Abstract: | In this paper, variational conclusions of set-valued bifunctions on convex subsets of Banach spaces are investigated and several new results are obtained. The results are applied to the fixed point theory and variational inequalities. We obtain two fixed point theorems and existence theorems of solutions of variational inequalities. |
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| Keywords: | Variational inequality Variational conclusion Ky Fan's inequality Fixed point theory Normalized duality mapping |
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