Exceptional Families of Elements for Continuous Functions: Some Applications to Complementarity Theory

Authors:
G. Isac;A. Carbone
Affiliations:
Department of Mathematics and Computer Science, Royal Military College of Canada, P.O. Box 17000 STN Forces, Kingston, Ontario Canada, K7K 7B4;Dipartimento di Matematica, Universita degli studi della Calabria, 87036 Arcavacata di Rende (Cosenza) Italy
Venue:
Journal of Global Optimization
Year:
1999

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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.