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Variational inequalities, complementarity problems, and duality theorems. (English) Zbl 0383.49005

MSC:
49J40Variational methods including variational inequalities
49J35Minimax problems (existence)
49J45Optimal control problems involving semicontinuity and convergence; relaxation
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Full Text: DOI
References:
[1] Bourbaki, N.: Espaces vectoriels topologiques. (1967) · Zbl 0042.35302
[2] Brézis, H.; Nirenberg, L.; Stampacchia, G.: A remark on Ky Fan’s minimax principle. Boll. un. Mat. ital. 6, 293-300 (1972) · Zbl 0264.49013
[3] Fan, K.: A generalization of the alaoglu-bourbaki theorem and its applications. Math. Z. 88, 48-60 (1965) · Zbl 0135.34402
[4] Fan, K.: A minimax inequality and applications. Inequalities III (1972) · Zbl 0302.49019
[5] Karamardian, S.: The generalized complementarity problem. J. optimization theory appl. 8, 161-168 (1971) · Zbl 0218.90052
[6] S. Karamardian, Complementarity problems over cones with monotone and pseudomonotone maps, to appear. · Zbl 0304.49026
[7] Köthe, G.: Topological vector spaces. (1969) · Zbl 0179.17001
[8] Lemke, C. E.: Recent results on complementarity problems. Nonlinear programming (1970)
[9] Moré, J. J.: Classes of functions and feasibility conditions in nonlinear complementarity problems. Cornell university technical reports 73-174 (1973)
[10] Moreau, J. J.: Sur la fonction polaire d’une fonction semicontinue supérieurement. C. R. Acad. sci. Paris 258, 1128-1130 (1964) · Zbl 0144.30501
[11] Moreau, J. J.: Fonctionelles convexes. Lecture notes (1966)
[12] Rockafellar, R. T.: Duality and stability in extremum problems involving convex functions. Pacific J. Math. 21, 167-187 (1967) · Zbl 0154.44902
[13] Stampacchia, G.: Variational inequalities. Theory and application of monotone operators (1969) · Zbl 0167.11501