Strong Convergence of New Two-Step Viscosity Iterative Approximation Methods for Set-Valued Nonexpansive Mappings in CAT(0) Spaces
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-02
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper is for the purpose of introducing and studying a class of new two-step viscosity iteration approximation methods for finding fixed points of set-valued nonexpansive mappings in CAT(0) spaces.
By means of some properties and characteristic to CAT(0) space and using Cauchy-Schwarz inequality and Xu’s inequality, strong convergence theorems of the new two-step viscosity iterative process for set-valued nonexpansive and contraction operators in complete CAT(0) spaces are provided.
The results of this paper improve and extend the corresponding main theorems in the literature.
American Psychological Association (APA)
Xiong, Ting-jian& Lan, Heng-you. 2018. Strong Convergence of New Two-Step Viscosity Iterative Approximation Methods for Set-Valued Nonexpansive Mappings in CAT(0) Spaces. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1185817
Modern Language Association (MLA)
Xiong, Ting-jian& Lan, Heng-you. Strong Convergence of New Two-Step Viscosity Iterative Approximation Methods for Set-Valued Nonexpansive Mappings in CAT(0) Spaces. Journal of Function Spaces No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1185817
American Medical Association (AMA)
Xiong, Ting-jian& Lan, Heng-you. Strong Convergence of New Two-Step Viscosity Iterative Approximation Methods for Set-Valued Nonexpansive Mappings in CAT(0) Spaces. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1185817
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185817