Implicit iterative process for common fixed point of a finite family of asymptotically nonexpansive mappings

作者：Gu Feng^*

来源：Studia Scientiarum Mathematicarum Hungarica, 2008, 45(2): 235-250.

DOI：10.1556/SScMath.2007.1044

• asymptotically nonexpansive mapping
• nonexpansive mapping
• implicit iterative sequence for a finite family
• common fixed point
• Opial condition
• demi-closed principle
• semi-compactness

The purpose of this paper is to study the weak and strong convergence of implicit iteration process to a common fixed point for a finite family of asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results of [1,2,4-9,11-15].

• 出版日期2008-6
• 单位杭州师范大学