非线性混合变分包含的Ishikawa迭代过程与稳定性(英文)  

Ishikawa Iterative Procedure and Stability for Nonlinear Mixed Variational Inclusions

作　　者：李红刚[1] 

机构地区：[1]重庆邮电大学应用数学研究所,重庆400065

出　　处：《吉首大学学报（自然科学版）》2008年第5期14-18,共5页Journal of Jishou University(Natural Sciences Edition)

摘　　要：在Banach空间中引入和研究了一类新的带( A,η)-增生映象的广义非线性混合变分包含,并证明了这种变分包含解的存在性,而且在q-一致光滑Banach空间中讨论了求解的Ishikawa迭代过程的收敛性和稳定性.A new class of generalized nonlinear mixed variational inclusions involving （A, η）-accretive mappings is studied in Banach spaces,an existence theorem of solution for this kind of variational inclusion is proved, and a new Ishikawa iterative algorithm is established, and the stability and the convergence of iterative sequences generated by the algorithm is discussed in q-uniformly smooth Banach spaces.

关 键 词：广义非线性混合变分包含 (A η)-增生映象 稳定性 预解算子 Ishikawa迭代算法 

分 类 号：O177.91[理学—数学]