A new iterative algorithm of solution for equilibrium problems, variational inequalities and fixed point problems in a Hilbert space
β Scribed by Phayap Katchang; Poom Kumam
- Book ID
- 107619873
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 465 KB
- Volume
- 32
- Category
- Article
- ISSN
- 1598-5865
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## Abstract In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an __Ξ±__ βinverse strongly monotone mapping in a Hilbert space. We show that the sequence converge
Recently, Ceng, Guu and Yao introduced an iterative scheme by viscosity-like approximation method to approximate the fixed point of nonexpansive mappings and solve some variational inequalities in Hilbert space (see Ceng et al. (2009) [9]). Takahashi and Takahashi proposed an iteration scheme to sol