| g-η-Monotone mapping and resolvent operator technique for solving generalized implicit variational-like inclusions |
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| 引用本文： | 张清邦,丁协平.g-η-Monotone mapping and resolvent operator technique for solving generalized implicit variational-like inclusions[J].应用数学和力学(英文版),2007,28(1):11-18. |
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| 作者姓名： | 张清邦 丁协平 |
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| 作者单位： | College of Applied Sciences Beijing University of Technology Beijing 100022 P. R. China，College of Mathematics and Software Science Sichuan Normal University，Chengdu 610066 P. R. China，College of Mathematics and Software Science Sichuan Normal University，Chengdu 610066 P. R. China |
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| 基金项目： | Project supported by the Key Science Foundation of Sichuan Education Department of China (No.2003A081) |
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| 摘 要： | A new class of g-η-monotone mappings and a class of generalized implicit variational-like inclusions involving g-η-monotone mappings are introduced. The resolvent operator of g-η-monotone mappings is defined and its Lipschitz continuity is presented. An iterative algorithm for approximating the solutions of generalized implicit variational-like inclusions is suggested and analyzed. The convergence of iterative sequences generated by the algorithm is also proved.
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| 关 键 词： | g-η-monotone mapping resolvent operator generalized implicit variationallike inclusion iterative algorithm |
| 收稿时间： | 2006-03-16 |
| 修稿时间： | 2006-09-14 |
<Emphasis Type="Italic">g</Emphasis>-<Emphasis Type="Italic">η</Emphasis>-Monotone mapping and resolvent operator technique for solving generalized implicit variational-like inclusions |
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| Zhang Qing-bang,Ding Xie-ping.g-η-Monotone mapping and resolvent operator technique for solving generalized implicit variational-like inclusions[J].Applied Mathematics and Mechanics(English Edition),2007,28(1):11-18. |
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| Authors: | Zhang Qing-bang Ding Xie-ping |
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| Institution: | (1) College of Applied Sciences, Beijing University of Technology, Beijing, 100022, P. R. China;(2) College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, P. R. China |
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| Abstract: | A new class of g-η-monotone mappings and a class of generalized implicit variational-like inclusions involving g-η-monotone mappings are introduced. The resolvent operator of g-η-monotone mappings is defined and its Lipschitz continuity is presented. An iterative algorithm for approximating the solutions
of generalized implicit variational-like inclusions is suggested and analyzed. The convergence of iterative sequences generated
by the algorithm is also proved.
Project supported by the Key Science Foundation of Sichuan Education Department of China (No.2003A081) |
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| Keywords: | g-η -monotone mapping resolvent operator generalized implicit variational-like inclusion iterative algorithm |
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