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KKM maps and variational inequalities. (English) Zbl 0396.47037


MSC:

47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
55M20 Fixed points and coincidences in algebraic topology

Citations:

Zbl 0093.367
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References:

[1] H. Brézis - L. Nirenberg - G. Stampacchia , A remark on Ky Fan’s Minimax principle , Boll. Un. Mat. Ital. , ( 4 ) 6 ( 1972 ), pp. 293 - 300 . MR 324498 | Zbl 0264.49013 · Zbl 0264.49013
[2] Ky Fan , A generalization of Tychonoff’s fixed-point theorem , Math. Ann. , 142 ( 1961 ), pp. 305 - 310 . MR 131268 | Zbl 0093.36701 · Zbl 0093.36701 · doi:10.1007/BF01353421
[3] Ky Fan , A minimax inequality and application , Inequalities III Shisha, ed., Academic Press ( 1972 ), pp. 103 - 113 . MR 341029 | Zbl 0302.49019 · Zbl 0302.49019
[4] P. Hartman - G. Stampacchia , On some nonlinear elliptic differential equations , Acta Math. , 115 ( 1966 ), pp. 271 - 310 . MR 206537 | Zbl 0142.38102 · Zbl 0142.38102 · doi:10.1007/BF02392210
[5] B. Knaster - C. Kuratowski - S. Mazurkiewicz , Ein Beweis des Fixpunktsatzes für n-dimensionale Simplexe , Fund. Math. , 14 ( 1929 ), pp. 132 - 137 . Article | JFM 55.0972.01 · JFM 55.0972.01
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