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.
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)~~
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
(A, η) -monotone mapping
nonlinear implicit variational-like inclusion problems
resolvent operator technique
iterative algorithm.