Banach空间内涉及H-η-单调算子的集值混合拟似变分包含组  

System of Set-Valued Mixed Quasi-Variational-Like Inclusions Involving H-eta-Monotone Operators in Banach Spaces

作　　者：丁协平[1] 王中宝[1] 

机构地区：[1]四川师范大学数学与软件科学学院,成都610066

出　　处：《应用数学和力学》2009年第1期1-14,共14页Applied Mathematics and Mechanics

基　　金：四川省教育厅重点科研基金资助项目(07ZA092SZD0406)

摘　　要：在没有光滑性的一般Banach空间内引入和研究了涉及H-η-单调算子的集值混合拟似变分包含组(SSMQVLI).利用与H-η-单调算子相联系的预解算子技巧,建议和分析了一类寻求SS-MQVLI的近似解的新的迭代算法.在适当假设下,证明了由算法生成的迭代序列强收敛于SS-MQVLI的精确解.这些结果是新的,改进和推广了这一领域的相应结果.A new system of set-valued mixed quasi-variational-like inclusions （SSMQVLI） involving H-eta-monotone operators is introduced and studied in general Banach spaces without uniform smoothness. By using the resolvent operator technique of H-eta-monotone operators, a new iterative algorithm for finding the approximation solutions of the SSMQVLI was suggested and analyzed. It was also proved that the iterative sequences generated by the algorithm converge strongly to the exact solution of the SSMQVLI under suitable assumptions. These results are new,and extend and improve the con-esponding results in this field.

关 键 词：H-η-单调算子 预解算子技巧 集值混合拟似变分包含组 迭代算法 BANACH空间 

分 类 号：O177.2[理学—数学] O177.91[理学—基础数学]