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Fuzzy映象的完全广义拟变分不等式
引用本文:张文彬,余建坤.Fuzzy映象的完全广义拟变分不等式[J].云南师范大学学报(自然科学版),2009,29(4):11-15,26.
作者姓名:张文彬  余建坤
作者单位:1. 云南财经大学统计与数学学院,云南,昆明,650221
2. 云南财经大学信息学院,云南,昆明,650221
摘    要:介绍并研究了一类新的fuzzy映象的完全广义拟变分不等式,在取消紧性的条件下,运用投影方法构建了一些迭代算法,并证明了所给问题解的存在性及由算法所产生的序列的收敛性,推广了近期文献的相应结果。

关 键 词:fuzzy映象  广义拟变分不等式  迭代算法  存在性及收敛性

Completely Generalized Quasi-Variational Inequalities For Fuzzy Mappings
ZHANG Wen-bin,YU Jian-kun.Completely Generalized Quasi-Variational Inequalities For Fuzzy Mappings[J].Journal of Yunnan Normal University (Natural Sciences Edition),2009,29(4):11-15,26.
Authors:ZHANG Wen-bin  YU Jian-kun
Institution:ZHANG Wen - bin, YU Jian - kun ( 1. College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221, China; 2. College of Information, Yunnan University of Finance and Economics, Kunming 650221, China)
Abstract:In this paper, we introduce and study a new class of completely generalized quasi - volitional inequality for fuzzy mappings and use the projection technique construct some new iterative algorithms without compactness. We prove the existence of solution and the convergence of iterative sequences generated by the algorithms. Our results extend some resent results.
Keywords:Fuzzy mapping  Quasi - variational inequality  Iterative algorithm  Existence and convergence
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