Fixed Point of a Countable Family of Uniformly Totally Quasi- <i>&Oslash</i>-Asymptotically Nonexpansive Multi-Valued Mappings in Reflexive Banach Spaces with Applications

• 作者: Yi Li
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: MULTI-VALUED Mapping Totally Quasi- Ø -Asymptotically NONEXPANSIVE Countable FAMILY of UNIFORMLY Totally Quasi- Ø -Asymptotically NONEXPANSIVE MULTI-VALUED Mappings Firmly Convergence
• 年，卷（期）: 2013,（9）
• 页码范围: 6-12
• 页数: 7页
• 分类号: O1

摘要

The purpose of this article is to discuss a modified Halpern-type iteration algorithm for a countable family of uniformly totally quasi- ? -asymptotically nonexpansive multi-valued mappings and establish some strong convergence theorems under certain conditions. We utilize the theorems to study a modified Halpern-type iterative algorithm for a system of equilibrium problems. The results improve and extend the corresponding results of Chang et al. (Applied Mathematics and Computation, 218, 6489-6497).