Banach空间中混合变分不等式解的存在性

Existence Theorem of Solutions for Mixed Variational Inequality in Banach Spaces

中文关键词:  混合变分不等式  广义$f$-投影算子  存在性定理  FKKM定理.

英文关键词:mixed variational inequality  generalized $f$-projection operator  existence theorem  FKKM theorem.

中文摘要:

      利用广义$f$-投影算子的性质及FKKM定理,在较弱的假设条件下证明了自反光滑Banach空间中的混合变分不等式解的存在性定理.这些结论改进并推广了近期文献给出的相应结果.

英文摘要:

      By using the property of generalized $f$-projection operator and FKKM theorem, the existence theorem of solutions for the mixed variational inequality is proved under weaker assumption in reflexive and smooth Banach space. The results improve and extend the corresponding results shown recently.