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

作　　者：丁协平 王中宝 

机构地区：[1]College of Mathematics and Software Science, Sichuan Normal University,Chengdu 610066, P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第1期1-12,共12页应用数学和力学（英文版）

基　　金：Project supported by the Natural Science Foundation of Education Department of Sichuan Province ofChina (No. 07ZA092);the Sichuan Province Leading Academic Discipline Project (No. SZD0406)

摘　　要：A new system of the set-valued mixed quasi-variational-like inclusions （SSMQVLI） involving H-η-monotone operators is studied in general Banach spaces without uniform smoothness. By using the resolvent operator technique of H-η-monotone operators, 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 results have extended and improved previous results.A new system of the set-valued mixed quasi-variational-like inclusions （SSMQVLI） involving H-η-monotone operators is studied in general Banach spaces without uniform smoothness. By using the resolvent operator technique of H-η-monotone operators, 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 results have extended and improved previous results.

关 键 词：H-η-monotone operators resolvent operator technique system of set-valued mixed quasi-variational-like inclusions iterative algorithm Banach spaces 

分 类 号：O177[理学—数学]