多值Φ-强增生算子方程解的Ishikawa迭代逼近  

Ishikawa Iterative Approximation of Solutions for Multi-valued Φ-Strongly Accretive Operator Equation

作　　者：冉凯[1] 杨小康[1] 

机构地区：[1]西安文理学院数学系,陕西西安710065

出　　处：《西安文理学院学报（自然科学版）》2006年第2期25-28,共4页Journal of Xi’an University(Natural Science Edition)

基　　金：西安文理学院科研基金资助项目(KY200430)

摘　　要：在一致光滑的实Banach空间中,研究多值Φ-强增生算子方程解的Ishikawa和Mann迭代逼近问题.给出了具误差的Ishikawa迭代序列和具误差的Mann迭代序列强收敛到方程f∈Tx和方程f∈x+Tx的惟一解定理.Ishikawa and Mann iterative approximation problem of solutions for multi-valued-strongly accretive operator equation in the uniformly smooth Banach space was studied. Some theorems of Ishikawa iterative sequence with error and Mann iterative sequence with error converging strongly to the unique solution of equations f∈ Tx and the equations f∈x ＋ Tx were given.

关 键 词：多值 Ф-强增生映象 不动点 迭代序列 

分 类 号：O177.91[理学—数学]