On coincidence theorems for set-valued mapping and variational inequalities (Q1184869)

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scientific article; zbMATH DE number 35222
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On coincidence theorems for set-valued mapping and variational inequalities
scientific article; zbMATH DE number 35222

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    On coincidence theorems for set-valued mapping and variational inequalities (English)
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    28 June 1992
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    The author proves a generalization of a known coincidence theorem obtained in 1984 by Browder. The main principal result is therefore a new coincidence theorem. This theorem is used to derive some new existence theorems for variational inequalities in infinite-dimensional spaces. Ky Fan's classical minimax lemma is obtained as a particular case.
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    coincidence theorem
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    existence theorems for variational inequalities in infinite-dimensional spaces
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    Ky Fan's classical minimax lemma
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