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关于极大η-单调映象的完全广义Fuzzy隐拟变分包含

Completely Generalized Fuzzy Nonlinear Implicit Quasivariational Inclusion with Maximal η-monotone Mappings
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摘要 本文介绍了一类关于极大,η-单调映象的完全广义拟变分包含问题,利用预解算子技巧研究了这类变分包含解的迭代算逼近,证明了解的存在性以及由算法生成的迭代序列的收敛性。 In this paper, we introduce a new class of completely generalized fu zzy nonlinear implicit quasivariational inclusion with maximal ?-monotone mappi ngs and constructed a new iterative algorithm. We also prove its existence and t he convergence of the iterative sequences generated by the algorithm. The result s extend and improve many known corresponding results.
作者 任晓
机构地区 西昌学院数理系
出处 《西昌师范高等专科学校学报》 2004年第2期98-101,共4页
关键词 映射的变分包含 预解算子 迭代算法 极大η-单调 completely generalized fuzzy nonlinear implicit quasivariational inc lusion maximal η-monotone mappings iterative algorithm
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参考文献5

  • 1[1]S.S.Chang, Y.G.Zhu, On variational inequalities for fuzzy mappings, Fuzzy Sets and Systems 32 (1989)359-367.
  • 2[2]N.J.Huang, A new method for a class of nonlinear variational inequalities with fuzzy mappings, Appl. Math. Lett. 10(1997), 129-133.
  • 3[3]J.Y. Park,J.U.Jeong, A perturbed algorithm of variational inclusions for fuzzy mappings, Fuzzy Sets and Systems 115(2000) 419-424.
  • 4[4]N.J.Huang. Y.P. Fang. A new class of general variational inclusions involving maximal η-monotone mappings, Publ.Math. Debreeen (62)2003,83-98.
  • 5[5]X.P. Ding, C.L. Luo, On parametric generalized quasi-variational inequalities, J.Optim Theory Appl. 100(1999) 195-205.A new class of generalized strongly nonlinear.

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