Generalized KKM theorem and variational inequalities
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Publication:1176964
DOI10.1016/0022-247X(91)90231-NzbMath0739.47026MaRDI QIDQ1176964
Publication date: 25 June 1992
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
multi-valued mappingKy Fan's minimax inequalitygeneralized KKM mappingBrowder-Hartman-Stampacchia variational inequality
Variational inequalities (49J40) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed points and coincidences in algebraic topology (55M20)
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Cites Work
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- A generalization of Tychonoff's fixed point theorem
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- Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
- Browder-Hartman-Stampacchia variational inequalities for multi-valued monotone operators
- A minimax inequality and its applications to variational inequalities
- Some further generalizations of Ky Fan's minimax inequality and its applications to variational inequalities
- Variational inequalities, complementarity problems, and duality theorems
- Applications of the generalized Knaster-Kurakowski-Mazurkiewicz theorem to variational inequalities
- On some non-linear elliptic differential functional equations
- Nonlinear monotone operators and convex sets in Banach spaces
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