自反Banach空间一类完全广义集值强非线性混合似变分不等式问题

The Question of a Class of Completely Generalized Set-valued Strongly Nonlinear Mixed Variational-Like Inequalities in Banach Space

研究了一类完全广义集值强非线性混合似变分不等式在自反Banach空间下的问题，借助一个极大极小不等式，证明了这类完全广义集值强非线性混合似变分不等式的解的存在唯一性定理。

In this paper, a class of the completely generalized set-valued strongly nonlinear mixed variational-like inequalities in reflexive Banach space is studied. By applying a minimax inequalitity,an esxitence uniqueness theorem of solutions for the completely generalized set-valued strongly nonlinear mixed variational-like inequalities is proved.