含非紧值映射广义拟-似变分包含组解的存在性

Existence of Solution to a System of Generalized Quasi-variational-like Inclusions with Noncompact Valued Mappings

引进一类新的具有非紧值映射的广义拟-似变分包含组.使用η-近似映射技巧,证明一个新的N-步迭代算法的收敛性和解的存在性.结果改进和推广了近期一些熟知的结果.

In this paper,a new system of generalized quasi-variational-like inclusions with noncompact valued mappings is introduced and studied.By using the proximal mapping technique, the convergence of a new iV-step iterative algorithm and the existence of solutions for this system of generalized quasi-variational-like inclusions are proved.The results extend and improve some known results in the literature.