| 用扰动逼近算法解广义混合拟-似变分包含 |
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| 引用本文： | 马昌威,罗南超.用扰动逼近算法解广义混合拟-似变分包含[J].西南民族学院学报(自然科学版),2009,35(3):443-449. |
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| 作者姓名： | 马昌威 罗南超 |
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| 作者单位： | [1]四川大学数学学院,四川成都610064 [2]阿坝师范高等专科学校数学系：四川汶川623000,四川成都610064 |
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| 摘 要： | 引入和研究了一类广义混合拟-似变分包含问题，借助η-次微分和η-近似映象，提出了求该变分包含近似解的扰动η-逼近算法，并且该算法的强收敛性也被讨论和分析，所得结果改进和推广了在这个领域最近的一些结果．
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| 关 键 词： | 广义混合拟-似变分包含 扰动η-逼近算法 η-近似映象 Hilberc空间. |
Perturbed proximal point algorithms for solving generalized mixed quasi-variational-like inclusions |
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| Institution: | MA Chang-wei, LUO Nan-chao (1. School of Mathematics, Sichuan University, Chengdu 610064, P. R. C.; 2.Department of Mathematics,Aba Teacher＇s College, Wenchuan 623000, P. R. C.) |
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| Abstract: | This paper introduces and studies a class of generalized mixed quasi-variational-like inclusions. By using η- subdifferential and η- proximal mapping, a new perturbed proximal point algorithm for finding approximate solutions of generalized mixed quasi-variational-like inclusions is suggested.The convergence criteria for the algorithm are also discussed and analyzed.These results develop and generalize many known results in this field. |
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| Keywords: | generalized mixed quasi-variational-like inclusions perturbed η- proximal point algorithm η- proximalmapping Hilbert space |
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