Abstract
Using the topological degree and the concept of exceptional family of elements for a continuous function, we prove a very general existence theorem for the nonlinear complementarity problem. This result is an alternative theorem. A generalization of Karamardian's condition and the asymptotic monotonicity are also introduced. Several applications of the main results are presented.
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Isac, G., Carbone, A. Exceptional Families of Elements for Continuous Functions: Some Applications to Complementarity Theory. Journal of Global Optimization 15, 181–196 (1999). https://doi.org/10.1023/A:1008376709933
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DOI: https://doi.org/10.1023/A:1008376709933