Banach空间一类新的含松弛-(H,η)-单调算子的广义混合拟似变分包含组  

A New System of Generalized Mixed Quasi-variational Like Inclusions with Relaxed(H,η)-monotone Operators in Banach Spaces

作　　者：王中宝[1] 丁协平[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2010年第1期17-23,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅自然科学重点基金(07ZA092;SZD0406)资助项目

摘　　要：在Banach空间内,引入和研究了一类新的含松弛-(H,η)-单调算子的广义混合拟似变分包含组.利用松弛-(H,η)-单调算子的豫解算子技巧,给出了求解这类广义混合拟似变分包含组的迭代算法,并证明了由迭代算法生成的迭代序列强收敛于该变分包含组的精确解.结果改进与推广了近期文献中的相应结果.In this paper,a new system of generalized mixed quasi-variational-like inclusions with relaxed（H,η）-monotone operators is introduced and studied in Banach spaces.By using the resolvent operator technique associated with relaxed（H,η）-monotone operators,we construct a new iterative algorithm for solving the system of generalized mixed quasi-variational-like inclusions.We also prove the existence of solutions and the convergence of iterative sequences generated the iterative algorithm.Our results improve and generalize many known corresponding results in recent literatures.

关 键 词：松弛-(H η)-单调算子 豫解算子 广义混合拟似变分包含组 迭代算法 BANACH空间 

分 类 号：O117.91[理学—数学]