新一类非线性模糊混合拟变分包含的迭代算法

journal6 ›› 2011, Vol. 32 ›› Issue (1): 14-17.

新一类非线性模糊混合拟变分包含的迭代算法

（1.重庆黔江电视大学，重庆 400900；2.重庆邮电大学应用数学研究所，重庆 400065)

出版日期:2011-01-25 发布日期:2012-04-10
作者简介:朱红英(1966-),女，重庆黔江人，重庆黔江电视大学讲师,主要从事非线性泛函分析研究；李红刚(1959-),男，重庆涪陵人，重庆邮电大学应用数学研究所副教授，主要从事非线性泛函分析研究.

Iterative Algorithm with the Errors on a New Class of Nonlinear Fuzzy Mixed Quasi-Variational Inclusions

(1.College of Chongqing Qianjiang TV,Chongqing 400900,China;2.Institute of Applied Mathematics Research,Chongqing University of Posts and Telecommunications,Chongqing 400065，China)

Online:2011-01-25 Published:2012-04-10

摘要/Abstract

摘要：在Banach空间中,引入和研究了带(A,η)-增生映象的新一类非线性模糊混合拟变分包含.利用(A,η)-增生映象的预解算子和Nadler定理，对此类变分包含建立解的存在性定理，并讨论了寻求解的带误差的新迭代算法，证明了由此算法生成的迭代序列的收敛性.

关键词： 模糊混合拟变分包含；(A,&eta, )-增生映象；预解算子；算法；收敛性

Abstract: A new class of nonlinear fuzzy mixed quasi-variational inclusions with (A,η)-accetive mappings in Banach spaces is introduced and studied.By using the resolvent operator associated with (A,η)-accetive mappings,a new iterative algorithm with the errors and an existence theorem of solutions for this kind of variational inclusions are established and discussed,and the convergence of iterative sequences generated by the algorithm is proved in q-uniformly smooth Banach spaces.

Key words: fuzzy mixed quasi-variational inclusions, (A,&eta, )-accetive mapping, resolvent operator, algorithm, convergence

朱红英, 李红刚. 新一类非线性模糊混合拟变分包含的迭代算法[J]. journal6, 2011, 32(1): 14-17.

ZHU Hong-Ying, LI Hong-Gang. Iterative Algorithm with the Errors on a New Class of Nonlinear Fuzzy Mixed Quasi-Variational Inclusions[J]. journal6, 2011, 32(1): 14-17.