GENERALIZED MULTIVALUED QUASIVARIATIONAL INCLUSIONS FOR FUZZY MAPPINGS

被引：0

作者：

Liu, Zeqing ^{[1
]}

Ume, Jeong Sheok ^{[2
]}

Kang, Shin Min ^{[3
,4
]}

机构：

[1] Liaoning Normal Univ, Dept Math, Dalian 116029, Liaoning, Peoples R China

[2] Changwon Natl Univ, Dept Appl Math, Chang Won 641773, South Korea

[3] Gyeongsang Natl Univ, Dept Math, Chinju 660701, South Korea

[4] Gyeongsang Natl Univ, Res Inst Nat Sci, Chinju 660701, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2007年 / 14卷 / 01期

关键词：

fuzzy mapping; generalized multivalued quasivariational inclusion; iterative algorithm;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce and study a class of generalized multivalued quasivariational inclusions for fuzzy mappings, and establish its equivalence with a class of fuzzy fixed- point problems by using the resolvent operator technique. We suggest a new iterative algorithm for the generalized multivalued quasivariational inclusions. Further, we establish a few existence results of solutions for the generalized multivalued quasivariational inclusions involving F-r-relaxed Lipschitz and F-r-strongly monotone mappings, and discuss the convergence criteria for the algorithm.

引用

页码：37 / 48

页数：12

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