Theorems of the alternative for multifunctions with applications to optimization: General results

Author:

Giannessi F.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference29 articles.

1. Bair, J.,A Rapid View on the Utility of Separation Theorems for Inequalities and Extrema Problems. Second Symposium on Operations Research, Rheinisch-Westfälische Technische Hochschule, Aachen, West Germany, Vol. 1, pp. 316?320, 1977.

2. Bazaraa, M. S.,A Theorem of the Alternative with Applications to Convex Programming: Optimality, Duality, and Stability, Journal of Mathematical Analysis and Applications, Vol. 41, pp. 701?715, 1973.

3. Castellani, G., andGiannessi, F.,Decomposition of Mathematical Programs by Means of Theorems of Alternative for Linear and Nonlinear Systems, Proceedings of the 9th International Symposium on Mathematical Programming, Hungarian Academy of Sciences, pp. 423?439, 1979.

4. Craven, B. D., andJeyakumar, V.,Alternative and Duality Theorems with Weakened Convexity, University of Melbourne, Department of Mathematics, Mathematical Research Report No. 31, 1984.

5. Giannessi, F.,Theorems of Alternative, Quadratic Programs, and Complementarity Problems, Variational Inequalities and Complementarity Problems. Theory and Applications, Edited by R. W. Cottle, F. Giannessi, and J.-L. Lions, Wiley, New York, New York, pp. 151?186, 1980.

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