关于广义非线性隐似变分包含问题(英文)  

On Generalized Nonlinear Implicit Variational-Like Inclusions Problems

作　　者：高大鹏[1] 冯世强[1] 何中全[1] 

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《西华师范大学学报（自然科学版）》2009年第4期345-350,共6页Journal of China West Normal University(Natural Sciences)

基　　金：Supported by the National Natural Science Foundation of China(grant 60804065)~~

摘　　要：文章在Hilbert空间中引入了一类新的涉及(A,η)单调映射的非线性集值隐似变分包含问题,基于与(A,η)单调性相关的广义预解算子技巧,用一种迭代算法研究了解的近似可解性,所得结果改进了许多近期结果.A new class of nonlinear set-valued implicit variational-like inclusions involving （A,η ）-mono- tone mappings in the framework of Hilbert spaces is introduced and then based on the generalized resolvent operator technique associated with （A,η）-monotonicity, the approximation solvability of solutions using an iterative algorithm is investigated. The results presented here improve many recent works.

关 键 词：(A η)单调映射 非线性隐似变分包含问题 预解算子技巧 迭代算法 

分 类 号：O177.91[理学—数学]