摘要
研究了Banach空间的强伪压缩映像和增生算子不动点的迭代格式,给出一个新的三步Ishikawa迭代。证明了该迭代格式强收敛强伪压缩映像或增生算子的不动点。同时,将此结果推广到n步的Ishikawa迭代。
In this paper,the iterative methods of fixed point of strong pseudo-contraction mappings and accretive operators are studied in Banach spaces.A new three-step Ishikawa iteration is given.It is proved that the iterative scheme sequence convergent to the fixed point of strong pseudo-contraction mapping or accretive operators.Meanwhile,the result mentioned above is extended to n steps of Ishikawa iteration for strong pseudo-contraction mappings and accretive operators.
作者
崔云安
朱鹏
王萍
CUI Yun-an;ZHU Peng;WANG Ping(School of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,China)
出处
《哈尔滨理工大学学报》
CAS
北大核心
2020年第4期141-145,共5页
Journal of Harbin University of Science and Technology
基金
国家自然科学基金(11871181)
黑龙江省基金面上项目(A2018006).
关键词
强伪压缩映射
不动点性质
ISHIKAWA迭代
增生算子
strong pseudo-contraction mapping
fixed point property
ishikawa iteration
accretive operator
