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초록
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.
키워드
viscosity approximation method; nonexpansive mapping; equilibrium problem; W-mapping; Hilbert space; COMMON FIXED-POINTS; VARIATIONAL-INEQUALITIES; WEAK-CONVERGENCE; INFINITE FAMILY; ALGORITHM
- 제목
- Strong convergence theorems based on the viscosity approximation method for a countable family of nonexpansive mappings
- 저자
- Bagherboum, Mozhgan; Razani, Abdolrahman; Park, Choonkil
- 발행일
- 2014-12
- 유형
- Article
- 페이지
- 1 ~ 15