Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense

Fixexd point theory and applications

JongKyu Kim¹  SunYoung Cho²  Xiaolong Qin³ 

[1] Department of Mathematics Education, Kyungnam University, Masan, South Korea;Department of Mathematics, Gyeongsang National University, Jinju, South Korea;Department of Mathematics, Hangzhou Normal University, Hangzhou, China

关键词: Hilbert Space;    Iterative Process;    Convergence Theorem;    Nonexpansive Mapping;    Opial Property;   

DOI  :  10.1155/2010/186874

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any compact assumption by considering the so-called hybrid projection methods.

【 授权许可】

CC BY