Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces

作者：Zhou Haiyun^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 70(9): 3140-3145.

DOI：10.1016/j.na.2008.04.017

• Asymptotically pseudo-contraction
• Uniformly L-Lipschitz condition
• Uniformly asymptotic regularity
• Demiclosedness principle
• Fixed point theorem
• Convergence theorem

In the present paper, we establish a demiclosedness principle for asymptotically pseudocontractions in Hilbert spaces. As its applications, we obtain a new fixed point theorem, some weak and strong convergence theorems for asymptotically pseudo-contractions. The results of this paper are interesting extensions of those known results.

• 出版日期2009-5-1
• 单位河北师范大学