| Existence and Algorithm of Solutions for Generalized Mixed Implicit Quasi-Variational-Like Inequalities |
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| 作者姓名： | 胡润雪 张勇 张红龄 |
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| 作者单位： | [1]DepartmentofMathematics,LeshanNormalCollege,Leshan614000,China／／DepartmentofComputationScience,ChengduUniversityofInformationTechnology,Chengdu610225,China [2]DepartmentofComputationScience,ChengduUniversityofInformationTechnology,Chengdu610225,China [3]DepartmentofAppliedMathematics,SouthwestJiaotongUniversity,Chengdu610031,China |
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| 基金项目： | TheProjectofYoungSienceandResearchFundationofEducationCommitteeinSichuanProvince(No.2001L06). |
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| 摘 要： | By applying the auxiliary variational principle technique, the existence of solutions for a new class of generalized mixed implicit quasi-variational-like inequalities and the convergence criteria of a new iterative algorithm to compute approximate solutions are proved in Hilbert spaces. The obtained result is a improvement over and generalization of the main theorem proposed by Ding.
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| 关 键 词： | 辅助原则 间隙函数 迭代算法 准变化不等式 希尔伯特空间 |
Existence and Algorithm of Solutions for Generalized Mixed Implicit Quasi-Variational-Like Inequalities |
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| Hu Runxue,Zhang Yong,ZHANG Hongling.Existence and Algorithm of Solutions for Generalized Mixed Implicit Quasi-Variational-Like Inequalities[J].Journal of Southwest Jiaotong University,2005,13(1):87-91. |
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| Authors: | Hu Runxue Zhang Yong ZHANG Hongling |
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| Abstract: | By applying the auxiliary variational principle technique, the existence of solutions for a new class of generalized mixed implicit quasi-variational-like inequalities and the convergence criteria of a new iterative algorithm to compute approximate solutions are proved in Hilbert spaces. The obtained result is a improvement over and generalization of the main theorem proposed by Ding. |
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| Keywords: | Generalized mixed implicit quasi-variational-like inequality Auxiliary principle technique Gap function Iterative algorithm |
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