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Generalized complementarity problem. (English) Zbl 0218.90052

MSC:
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
90C25 Convex programming
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[1] Cottle, R. W.,Nonlinear Programs with Positively Bounded Jacobians, SIAM Journal of Applied Mathematics, Vol. 14, No. 1, 1966. · Zbl 0158.18903
[2] Cottle, R. W., andDantzig, G. B.,Complementary Pivot Theory of Mathematical Programming, Journal of Linear Algebra and its Applications, Vol. 1, No. 1, 1968.
[3] Eaves, B. C.,The Linear Complementarity Problem in Mathematical Programming, Stanford University, Operations Research House, Technical Report No. 69-4, 1969. · Zbl 0211.49301
[4] Karamardian, S.,The Nonlinear Complementarity Problem with Applications, Parts I and II, Journal of Optimization Theory and Applications, Vol. 4, Nos. 2-3, 1969. · Zbl 0169.51302
[5] Karamardian, S.,The Complementarity Problem, Journal of Mathematical Programming (to appear). · Zbl 0247.90058
[6] Lemke, C. E.,On Complementary Pivot Theory, Mathematics of the Decision Sciences, Edited by G. B. Dantzig and A. E. Veinott, Jr., American Mathematical Society, Providence, Rhode Island, 1968. · Zbl 0208.45502
[7] Lemke, C. E.,Recent Results on Complementarity Problems, Nonlinear Programming, Academic Press, New York, 1970.
[8] Murty, K. G.,On the Number of Solutions to the Complementary Problem and Spanning Properties of Complementary Cones, Journal of Linear Algebra and Its Applications (to appear). · Zbl 0241.90046
[9] Habetler, G. J., andPrice, A. L.,Existence Theory for Generalized Nonlinear Complementarity Problems, Journal of Optimization Theory and Applications (to appear). · Zbl 0205.22303
[10] Hartman, P., andStampacchia, G.,On Some Nonlinear Differential-Functional Equations, Acta Mathematica, Vol. 115, Nos. 3-4, 1966. · Zbl 0142.38102
[11] Juberg, R. K., andKaramardian, S.,On Variational Type Inequalities (to appear). · Zbl 0269.49019
[12] Fan, K.,Fixed-Point and Minimax Theorems in Locally Convex Topological Linear Spaces, Proceedings of the National Academy of Science, Vol. 38, No. 2, 1952. · Zbl 0047.35103
[13] Fan, K.,Extensions of Two Fixed-Point Theorems of F. E. Browder, Mathematische Zeitschrift, Vol. 112, No. 3, 1969. · Zbl 0185.39503
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