广义集值混合拟类变分不等式的解的存在性(英文)

Solution Existence of Generalized Set-Valued Mixed Quasi Variational-Like Inequalities1

借助于集值映射的不动点理论来研究广义集值混合拟类变分不等式的解的存在性.所采用的方法既不依赖于预解算子也不依赖于辅助原理法,同时还不需要映射的任何单调性.

This paper is devoted to study the existence of solutions for generalized set-valued mixed quasi variational-like Inequalities by means of the fixed points of set-valued mappings. This method relies on neither the resolvent operator nor the auxiliary principle technique and doesn＇t require any monotonicity of mappings.