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Generalized Multivalued Quasivariational Inclusions for Fuzzy Mappings

강신민|엄정석|ZEQING LIU
한국수학교육학회|2007.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제14권 제1호|pp. 37-48

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주제분류수학

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Abstract

In this paper, we introduce and study a clas of generalized multivaluedquasivariational inclusions for fuzy mapings, and estab lish its equivalence with aclas of uzy xed-point problems by using the resolvent op erator technique. Wesugest a new iterative algorithm for the generalized multivalued quasivariationalinclusions. Further, we stablish a few existence results of solutions for the gen-eralized multivalued quasivariational inclusions involv ing Fr-relaxed Lipschitz andFr-strongly monotone mapings, and iscus the convergence c riteria for the algo-rithm.

참고문헌 (8)

  1. "Generalized quasi-variational inequalities for fuzzy mappings", 115, pp.403~411 (2000)
  2. "On variational inequalities for fuzzy mappings", pp.359~367 (1989)
  3. "On the monotonicity of the gradient of a convex function", pp.243~247 (1964)
  4. "Variational inequalities for fuzzy mappings", pp.309~312 (1993)
  5. "Variational inequalities for fuzzy mappings (II)", 97, pp.101~107 (1998)
  6. "Variational inequalities for fuzzy mappings (III)", 110, pp.101~108 (2000)
  7. "Generalized variational inequalities and associated nonlinear equations", 48, pp.413~418 (1998)
  8. "Applications of variational inequalities to nonlinear analysis", pp.89~4 92 (1991)

관련 논문AI추천

Generalized nonlinear multivalued mixedquasi-variational-like inequalities이병수, M. Firdosh Khan, Salahuddin대한수학회 · 대한수학회논문집2006 · 제21권 제4호Multivalued Mixed Quasi-Variational-like Inequalities이병수한국수학교육학회 · 이론수학과 교직수학2006 · 제13권 제3호On the Generalized Set-Valued Mixed Variational InequalitiesShin Min Kang, Yali Zhao, Zeqing Liu대한수학회 · 대한수학회논문집2003 · 제18권 제3호Sensitivity Analysis for GeneralizedNonlinear Implicit Quasi-variational InclusionsJae Ug Jeong경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제3호Parametric generalized mixed implicit quasi-variational inclusions박종열, 정재욱대한수학회 · 대한수학회지2007 · 제44권 제4호Vector Variational Inequality Problems with Generalized $C(x)$-$L$-pseudomonotone Set-valued Mappings강미광, Byung-Soo Lee한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제2호

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