Modified noor iterations for nonexpansive semigroups with generalized contraction in Banach spaces

作者：Wangkeeree Rabian^*; Preechasilp Pakkapon

来源：Journal of Inequalities and Applications, 2012, 6.

DOI：10.1186/1029-242X-2012-6

• generalized contraction
• Meir Keeler type mapping
• nonexpansive semi group
• fixed point
• reflexive Banach space

In this article, the modified Noor iterations are considered for the generalized contraction and a nonexpansive semigroup in the framework of a reflexive Banach space which admits a weakly sequentially continuous duality mapping. The strong convergence theorems are obtained under very mild conditions imposed the parameters. The results presented in this article improve and extend the corresponding results announced by Chen and He and Chen et al. and many others.
AMS subject classification: 47H09; 47H10; 47H17.

• 出版日期2012