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Strong convergence theorems based on the viscosity approximation method for a countable family of nonexpansive mappingsopen access
- Issue Date
- Dec-2014
- Publisher
- SPRINGEROPEN
- Keywords
- viscosity approximation method; nonexpansive mapping; equilibrium problem; W-mapping; Hilbert space
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 15
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- Start Page
- 1
- End Page
- 15
- ISSN
- 1025-5834
- 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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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)