| 带ψ-强单调映象的广义非线性拟变分包含 |
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| 引用本文： | 金茂明. 带ψ-强单调映象的广义非线性拟变分包含[J]. 四川大学学报(自然科学版), 2004, 41(6): 1095-1098 |
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| 作者姓名： | 金茂明 |
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| 作者单位： | 涪陵师范学院数学系,重庆涪陵,408003 |
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| 基金项目： | 重庆市教委自然科学基金资助项目(021301) |
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| 摘 要： | 引入了一类新的带ψ-强单调映象的广义非线性拟变分包含，在Hilbert空间中使用极大η-单调映象的预解算子方法建立了这类变分包含解的存在性定理，构造了求此类变分包含解具误差的新迭代算法，并讨论了算法的收敛准则。
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| 关 键 词： | 拟变分包含 ψ-强单调映象 极大η-单调映象 预解算子 |
Generalized Nonlinear Quasi-variational Inclusions with ψ-strongly Monotone Mappings JIN Maomings |
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| Abstract. Generalized Nonlinear Quasi-variational Inclusions with ψ-strongly Monotone Mappings JIN Maomings[J]. Journal of Sichuan University (Natural Science Edition), 2004, 41(6): 1095-1098 |
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| Authors: | Abstract |
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| Abstract: | In this paper, the author introduces and studies a new class of generalized nonlinear quasi-variational inclusions with ψ-strongly monotone mappings, and establish an existence theorem of solutions and constructs a new proximal point algorithm with errors for finding the approximate solutions for this class of generalized nonlinear quasi-variational inclusions by using the resolvent operator technique for maximal η-monotone mapping in Hilbert spaces. The convergence criteria for the algorithm is also discussed. |
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| Keywords: | quasi-variational inclusion ψ-strongly monotone mapping maximal η-monotone rnapping resolvent operator |
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