CUI Yunan, ZHU Peng, WANG Ping. The Fixed Point Property of Strong Pseudocontraction Mapping[J]. 2020, 25(4): 141-145.DOI: 10.15938/j.jhust.2020.04.020.
强伪压缩映射的不动点性质
摘要
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。
Abstract
In this paper
the iterative methods offixed point of strong pseudocontraction mappings and accretive operators arestudied in Banach spaces. A new threestep Ishikawa iteration is given. It isproved that the iterative scheme sequence convergent to the fixed point ofstrong pseudocontraction mapping or accretive operators. Meanwhile
the resultmentioned above is extended to n steps of Ishikawa iteration for strong pseudocontractionmappings and accretive operators.