自反巴拿赫空间内的广义强非线性变分不等式

On Generalized Strongly Nonlinear Variational Inequalities in Reflexive Banach Spaces

文中我们在自反巴拿赫空间内研究了一类广义强非线性变分不等式,通过应用极小极大不等式和辅助原理技巧,广义强非线性变分不等式的某些存在唯一性定理在自反巴拿赫空间内被证明.

This paper studies a class of generalized strongly nonlinear variational inequalities under reflexive Banach space setting. By applying a minimax inequality and the auxiliary principle, some existence uniqueness theorems for solutions to the generalized strongly nonlinear variational inequalities are proved under the Setting of reflexive Banaeh spaces.