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带(H,η)-单调映象的模糊集值变分包含问题
A New Class of Fuzzy Set-Valued Variational Inclusions with(H,η)-Monotone Mappings
【摘要】 本文引入和研究了一类新的带(H,η)-单调映象的模糊集值变分包含问题,利用(H,η)-单调映象的预解算子技巧,对这类模糊集值变分包含建立了一个新的寻求近似解的近似点算法.在一定条件下证明了求近似解序列强收敛于精确解.
【Abstract】 In the article,we introduce and study a new class of fuzzy set-valued variational inclusions with(H,η)-monotone mappings in Hilbert spaces.By using the resolvent operator technique due to Fang,Huang and Thompson,we suggest a new proximal point algorithm for finding approximate solution which strongly converges to the exact solution of fuzzy set-valued variational inclusions with(H,η)-monotone.The results presented in the article improve and unify some recent results in this field.
【关键词】 变分包含;
(H,η)-单调映象;
模糊集值映象;
预解算子技术;
近似点算法;
收敛性;
【Key words】 Variational Inclusion; (H,η)-Monotone Mapping; Resolvent Operator Technique; Fuzzy Set-Valued Mapping; Proximal Point Algorithm; Convergence;
【Key words】 Variational Inclusion; (H,η)-Monotone Mapping; Resolvent Operator Technique; Fuzzy Set-Valued Mapping; Proximal Point Algorithm; Convergence;
- 【文献出处】 宜宾学院学报 ,Journal of Yibin University , 编辑部邮箱 ,2008年12期
- 【分类号】O177.91
- 【下载频次】13