Fixed Point of a Countable Family of Uniformly Totally Quasi- &lt;i&gt;&amp;Oslash&lt;/i&gt; -Asymptotically Nonexpansive Multi-Valued Mappings in Reflexive Banach Spaces with Applications | Zendy

Yi Li | Zendy

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

Author(s) -

Yi Li

Publication year - 2013

Publication title -

applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2152-7393

pISSN - 2152-7385

DOI - 10.4236/am.2013.49a002

Subject(s) - countable set , mathematics , fixed point , banach space , convergence (economics) , type (biology) , fixed point theorem , discrete mathematics , computation , pure mathematics , mathematical analysis , algorithm , ecology , economics , economic growth , biology

The purpose of this article is to discuss a modified Halpern-type iteration algorithm for a countable family of uniformly totally quasi- Ø -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).

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