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Banach空间中具集值增生映象的广义模糊变分包含
引用本文:兰恒友. Banach空间中具集值增生映象的广义模糊变分包含[J]. 四川大学学报(自然科学版), 2002, 39(6): 1014-1018
作者姓名:兰恒友
作者单位:四川大学数学学院,成都,610064;四川轻化工学院应用数学系,四川自贡,643033
摘    要:引入并研究了Banach空间中新的一类具集值增生映象的广义模糊变分包含,证明了其解的存在性定理,并建立了一新的含混合误差的Ishikawa迭代序列,证明了其收敛性,所得结果推广和改进了已知的相应结果。

关 键 词:Banach空间 广义模糊变分包含 集值增生映象 混合误差 Ishikawa迭代序列 存在性 收敛性

Generalized Fuzzy Variational Inclusions with Set-valued Accretive Mappings in Banach Spaces
Abstract. Generalized Fuzzy Variational Inclusions with Set-valued Accretive Mappings in Banach Spaces[J]. Journal of Sichuan University (Natural Science Edition), 2002, 39(6): 1014-1018
Authors:Abstract
Abstract:The author introduced and studied a new class of generalized fuzzy variational inclusions with set-valued accretive mappings in Banach spaces,and proved the existence of solution for the generalized fuzzy variational inclusions with set-valued accretive mappings and construct a new stable perturbed Ishikawa iterative process with mixed errors. The author also proved the convergence of the iterative sequences. The results extend and improve many known corresponding results.
Keywords:generalized fuzzy variational inclusions  set-accretive mapping  Ishikawa iterative process with mixed errors  existence  convergence
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