四川大学学报(自然科学版)2004,Vol.41Issue(6):1095-1098,4.
带ψ-强单调映象的广义非线性拟变分包含
Generalized Nonlinear Quasi-variational Inclusions with ψ-strongly Monotone Mappings JIN Maomings
摘要
Abstract
In this paper, the author introduces and studies a new class of generalized nonlinear quasi-variational inclusions with ψ-strongly monotone mappings, and establish an existence theorem of solutions and constructs a new proximal point algorithm with errors for finding the approximate solutions for this class of generalized nonlinear quasi-variational inclusions by using the resolvent operator technique for maximal η-monotone mapping in Hilbert spaces. The convergence criteria for the algorithm is also discussed.关键词
拟变分包含/ψ-强单调映象/极大η-单调映象/预解算子Key words
quasi-variational inclusion/ψ-strongly monotone mapping/maximal η-monotone rnapping/resolvent operator分类
数理科学引用本文复制引用
金茂明..带ψ-强单调映象的广义非线性拟变分包含[J].四川大学学报(自然科学版),2004,41(6):1095-1098,4.基金项目
重庆市教委自然科学基金资助项目(021301) (021301)