The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 14 Issue 1 Serial No. 35
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- Pages.37-48
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- 2007
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
GENERALIZED MULTIVALUED QUASIVARIATIONAL INCLUSIONS FOR FUZZY MAPPINGS
- Liu, Zeqing (DEPARTMENT OF MATHEMATICS, LIAONING NORMAL UNIVERSITY) ;
- Ume, Jeong-Sheok (DEPARTMENT OF APPLIED MATHEMATICS, CHANGWON NATIONAL UNIVERSITY) ;
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Kang, Shin-Min
(DEPARTMENT OF MATHEMATICS AND RESEARCH INSTITUTE OF NATURAL SCIENCE, GYEONGSANG NATIONAL UNIVERSITY)
- Published : 2007.02.28
Abstract
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