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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
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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.
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