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一类新的带(H,η)-单调映象的广义非线性模糊集值变分包含
引用本文:李红刚.一类新的带(H,η)-单调映象的广义非线性模糊集值变分包含[J].西南师范大学学报(自然科学版),2007,32(5):1-5.
作者姓名:李红刚
作者单位:重庆邮电大学,应用数学研究所,重庆,400065
基金项目:国家自然科学基金资助项目(10471151),重庆市教委科技资助项目(041302).
摘    要:在Hilbert空间中,引入和研究了一类新的带(H,η)-单调映象的广义非线性模糊集值变分包含,并对这类变分包含建立了新的寻求解的迭代算法,证明了迭代序列的收敛性.

关 键 词:变分包含  (H  η)-单调映象  模糊集值映象  迭代算法  收敛性
文章编号:1000-5471(2007)05-0001-05
修稿时间:2006-11-21

A New Class of Generalized Nonlinear Fuzzy Set-Valued Variational Inclusions Involving (H,η) -Monotone Mappings
LI Hong-gang.A New Class of Generalized Nonlinear Fuzzy Set-Valued Variational Inclusions Involving (H,η) -Monotone Mappings[J].Journal of Southwest China Normal University(Natural Science),2007,32(5):1-5.
Authors:LI Hong-gang
Institution:Institute of Applied Mathematics Research, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Abstract:In this paper,a new class of generalized nonlinear fuzzy set-valued variational inclusions in Hilbert spaces is introduced and studied,and an existence theorem of solutions and a new iterative algorithm for this class of variational inclusions is suggested and discussed.The results presented in this paper generalize and improve some recent results in this field.
Keywords:variational inclusions  fuzzy set-valued mapping  convergence  iterative al-gorithm
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