关于广义集值强非线性变分不等式的一个注记

A Note on Generalized Set-Valued Strongly Nonlinear Variational Inequalities

讨论Cho等引进和研究的一类广义集值强非线性变分不等式的可解性。用上半连续代替下半连续,得到存在性定理,改进和推广了Cho和Verma等人的主要结果。另外,还给出了一个与之有关的变分包含问题解的存在性定理。

It discusses the sovability of generalized set - valued strongly nonlinear variational inequalities in reflexive Banach spaces introduced and studied by Cho etc, and substitute upper semi - continuity for lower semi - continuity in the theorem and obtain theorem of the existence. The results revises and improves Cho and Verma＇ s main results. In addition, the existence of solution for variational inclusion related to variational inequalities is obtained.