q一致光滑Banach空间中非线性Φ-强伪压缩映射和强增生映射的Ishikawa迭代过程  

Ishikawa Iteration Process for Nonlinear Φ-strongly Pseudocontractive and Strongly Accretive Mappings in q-Uniformly Smooth Banach Spaces

作　　者：范瑞琴[1] 薛志群[1] 

机构地区：[1]石家庄铁道学院数理系,石家庄050043

出　　处：《应用泛函分析学报》2010年第2期164-169,共6页Acta Analysis Functionalis Applicata

摘　　要：在q(≥2)一致光滑的实Banach空间中,研究了一类非Lipschitz,非值域有界的Φ-强伪压缩映射和Φ-强增生映射的Ishikawa迭代收敛问题,所得结果扩展了该领域目前所有的相关结果,因而在目前更具有一般性和广泛性.In q-uniformly smooth Banach, it is investigated that the convergence of Ishikawa iteration for nonlinear φ-strongly pseudocontractive and strongly accretive mappings without Lipschitzian and bounded range. These results improve and extend corresponding results at present.

关 键 词：g-致光滑Banach空间 φ-强伪压缩映射 φ-强增生映射 ISHIKAWA迭代过程 

分 类 号：O177.91[理学—数学]