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Topological version of section theorems with applications

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In this paper some new types of KKM theorem and section theorems are given. As applications, the existence problems of solutions for three kinds of variational inequalities and fixed point problem for set-valued mapping have been studied by using those results. The results presented in this paper improve and extend the main results in [1–19].

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Project supported by the National Natural Science Foundation of China First Received Sept. 1, 1993

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Shi-sheng, Z., Xian, W. Topological version of section theorems with applications. Appl Math Mech 16, 133–142 (1995). https://doi.org/10.1007/BF02451453

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