一类具广义Lipschitz的k-次增生型变分包含解的迭代逼近  

Iterative approximation for solutions of a class of variational inclusions of k-subaccretive type with generalized Lipschitzian mappings

作　　者：袁林[1] 曾六川[1] 

机构地区：[1]上海师范大学数理学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2009年第1期29-34,共6页Journal of Shanghai Normal University(Natural Sciences)

基　　金：国家自然科学基金(1077.1141)

摘　　要：在实自反Banach空间中研究一类具广义Lipschitz的k-次增生型变分包含问题,证明了该变分包含解的存在唯一性及其具有混合误差项的Ishikawa迭代程序的收敛性.We study a class of variational inclusions of k-subaccretive type with generalized Lipschitzian mappings in real reflexive Banach spaces. We prove the existence and uniqueness of solutions to the class of variational inclusions and the convergence of Ishikawa iteration approximating process with mixed errors.

关 键 词：变分包含 k-次增生映象 广义Lipschitz的 Η-次微分 具有混合误差项的Ishikawa迭代程序 

分 类 号：O177.91[理学—数学]