Strong convergence theorems for a countable family of quasi-phi-asymptotically nonexpansive nonself mappings

作者：Chang Shih sen; Wang Lin; Tang Yong Kun; Wang Bin; Qin Li Juan

来源：Applied Mathematics and Computation, 2012, 218(15): 7864-7870.

DOI：10.1016/j.amc.2012.02.002

• Quasi-phi asymptotically nonexpansive nonself mappings
• Quasi-phi-asymptotically nonexpansive mapping
• Quasi-phi-nonexpansive nonself mapping
• Quasi-phi-nonexpansive mapping
• Asymptotically nonexpansive mapping
• Generalized projection

The purpose of this article is to introduce a class of quasi-phi-asymptotically nonexpansive nonself mappings and to study the strong convergence under a limit condition only in the framework of Banach spaces. As an application, we utilize our results to study the approximation problem of solution to a system of equilibrium problems. The results presented in the paper improve and extend the corresponding results announced by some authors recently.

• 出版日期2012-4-1
• 单位云南大学; 昆明学院