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.
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页码：37 / 48
页数：12
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