Exceptional families of elements for set-valued mappings: An application to nonlinear complementarity problems

摘要

In this work, based upon the topological degree for set-valued mappings, instead of the Leray-Schauder type alternative and the technique of continuous selection, the notion of an exceptional family of elements for set-valued mappings in Isac's sense is applied to nonlinear complementarity problems (for short, S-CP(F, K, H)) and an existence result for solutions for S-CP(F, K, H) is obtained. (c) 2007 Elsevier Ltd. All rights reserved.