Alternative Theorems for Nonlinear Projection
نویسندگان
چکیده
This paper introduces two concepts of exceptional families for a class of nonlinear projection equations which provide a uniied formulation of nite-dimensional variational inequalities and complementarity problems. Based on these concepts, two alternative theorems are established for this class of nonlinear projection equations. We utilize one of the alternative theorems to establish several new existence results for generalized complementarity problems with such functions as quasi-P and P(; ;)-maps. The class of quasi-P-maps is broad enough to encompass quasi-monotone maps and P-maps. The existence results established in the paper relax several previous solution conditions for (generalized) complementarity problems.
منابع مشابه
Alternative Theorems for Nonlinear
This paper introduces two concepts of exceptional families for a class of nonlinear projection equations which provide a uniied formulation of several special cases such as nite-dimensional variational inequalities and complementarity problems. Based on these concepts, two alternative theorems, and then two suucient existence conditions, are established for this class of nonlinear projection eq...
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