System of set-valued mixed quasi-variational-like inclusions involving H-η-monot

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System of set-valued mixed quasi-variational-like inclusions involving H-η-monotone operators in Banach spaces

A new system of the set-valued mixed quasi-variational-like inclusions (SS-MQVLI) involving H-η-monotone operators is studied in general Banach spaces without uniform smoothness. By using the resolvent operator technique of H-η-monotone opera-tors, a new iterative algorithm for finding approximate solutions to SSMQVLI is proposed. It is shown that the iterative sequences generated by the algorithm converge strongly to the exact solution of SSMQVLI under appropriate assumptions. These obtained new re-sults have extended and improved previous results.

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作 者: Xie-ping DING Zhong-bao WANG  
作者单位:College of Mathematics and Software Science, Sichuan Normal University,Chengdu 610066, P. R. China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2009 30(1) 
分类号:O3 
关键词:H-η-monotone operators   resolvent operator technique   system of set-valued mixed quasi-variational-like inclusions   iterative algorithm   Banach spaces  
机标关键词:resolvent operator techniqueapproximate solutionsiterative algorithmuniform smoothnessexact solutionBanach spaces 
基金项目:四川省教育厅资助项目,the Sichuan Province Leading Academic Discipline Project 
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