Some results on weakly bilinear maps and its application to solve x~*-generalized nonlinear complementarity problem in S~n

摘要

The main purpose of this paper is to introduce the concept of x~*-generalized nonlinear variational inequality problem in S~n and to study its existence theorem there in. The concept of the weakly subadditive functions, and weakly supersubtractive functions with respect to the second component associated with a functional are explored to study the existence theorems of the weakly bilinear function under addition and subtraction.