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Exceptional Families of Elements, Feasibility and Complementarity

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  • G. Isac

    (Royal Military College of Canada, STN Forces)

Abstract

Feasibility is an important property for a complementarity problem. A complementarity problem is solvable if it is feasible and some supplementary assumptions are satisfied. In this paper, we introduce the notion of (α, β)-exceptional family of elements for a continuous function and we apply this notion to the study of feasibility of nonlinear complementarity problems.

Suggested Citation

  • G. Isac, 2000. "Exceptional Families of Elements, Feasibility and Complementarity," Journal of Optimization Theory and Applications, Springer, vol. 104(3), pages 577-588, March.
    • Handle: RePEc:spr:joptap:v:104:y:2000:i:3:d:10.1023_a:1004637625355
    DOI: 10.1023/A:1004637625355
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    References listed on IDEAS

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    1. G. Isac & W. T. Obuchowska, 1998. "Functions Without Exceptional Family of Elements and Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 99(1), pages 147-163, October.
    2. Y. B. Zhao & J. Y. Han & H. D. Qi, 1999. "Exceptional Families and Existence Theorems for Variational Inequality Problems," Journal of Optimization Theory and Applications, Springer, vol. 101(2), pages 475-495, May.
    3. M. Seetharama Gowda & Jong-Shi Pang, 1992. "On Solution Stability of the Linear Complementarity Problem," Mathematics of Operations Research, INFORMS, vol. 17(1), pages 77-83, February.
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    Cited by:

    1. Y. B. Zhao & G. Isac, 2000. "Quasi-P*-Maps, P(τ, α, β)-Maps, Exceptional Family of Elements, and Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 105(1), pages 213-231, April.
    2. Z.H. Huang, 2003. "Generalization of an Existence Theorem for Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 118(3), pages 567-585, September.

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