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Strong convergence theorems based on the viscosity approximation method for a countable family of nonexpansive mappings

Authors
Bagherboum, MozhganRazani, AbdolrahmanPark, Choonkil
Issue Date
Dec-2014
Publisher
Gordon and Breach Science Publishers
Keywords
viscosity approximation method; nonexpansive mapping; equilibrium problem; W-mapping; Hilbert space
Citation
Journal of Inequalities and Applications, pp 1 - 15
Pages
15
Indexed
SCIE
SCOPUS
Journal Title
Journal of Inequalities and Applications
Start Page
1
End Page
15
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143942
DOI
10.1186/1029-242X-2014-513
ISSN
1025-5834
1029-242X
Abstract
In a real Hilbert space, an iterative scheme is considered to obtain a common fixed point for a countable family of nonexpansive mappings. In addition, strong convergence to the common fixed point of this sequence is investigated. As an application, an equilibrium problem is solved. We also state more applications of this procedure to obtain a common fixed point of W-mappings.
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