Banach空间中强增生型变分包含解的迭代逼近问题  

On the Iterative Approximation Problem of Solutions to Variational Inclusions with Strongly Accretive Type Mappings in Banach Spaces

作　　者：曾六川[1] 

机构地区：[1]上海师范大学数学系,上海200234

出　　处：《工程数学学报》2005年第6期1048-1054,共7页Chinese Journal of Engineering Mathematics

基　　金：高等学校优秀青年教师教学和科研奖励基金上海市曙光计划资助项目上海市教委重点学科经费(部分)资助项目.

摘　　要：本文研究P-一致光滑的实Banach空间(1<P≤2)中一类强增生型变分包含解的迭代逼近问题。在仅假设强增生映象的连续性与没有条件βn→0(n→∞)下,利用徐宗本等人给出的对偶映象Jp的Holder连续性,证明了具误差的Ishikawa迭代程序强收敛到这类变分包含的唯一解。This paper investigates the iterative approximation problem of solutions for a class of variational inclusions with strongly accretive type mappings in a real p-uniformly smooth Banach space, 1〈p≤2. Under the only assumption of the continuity of strongly accretive mappings and without the condition βn→0（n→∞）, by virtue of the Holder continuity of the duality mapping Jp given by Xu Zong-ben et al., we prove that the Ishikawa iterative process with errors converges strongly to the unique solution of this class of variational inclusions.

关 键 词：变分包含 强增生映象 具误差的Ishikawa迭代程序 

分 类 号：O177.91[理学—数学]