φ-强增生型变分包含的Ishikawa迭代序列强收敛的充要条件  

Necessary and Sufficient Condions for Strong Convergence of Ishikawa Iterative Sequence of Variational Inclusions with φ-Strongly Accretive Type Mappings

作　　者：薛祖华 顾正刚 

机构地区：[1]苏州高等师范学校,苏州215008

出　　处：《应用泛函分析学报》2010年第1期91-96,共6页Acta Analysis Functionalis Applicata

摘　　要：研究Banach空间中φ-强增生型变分包含问题,在实的自反的光滑Banach空间中,证明了这类变分包含问题解得存在唯一性,并给出Ishikawa迭代序列{xn}强收敛的充要条件.The purpose of this paper is to investigate the problem of variational inclusions with φ- strongly accretive type mapping in a Banach space E. We prove the existence and uniqueness of solution to this class of variational inclusions and the neccesry and sufficiet condions on the strong convergence of the Ishikawa iteration sequence { xn } . The result in this paper improve the results obtained by ZENG Luchuan and WANG Chao ect.

关 键 词：变分包含 Φ-强增生映象 修改的Ishikawa迭代序列 不动点 

分 类 号：O177.91[理学—数学]