In this paper, we propose an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a strict pseudocontraction mapping in the setting of real Hilbert spaces. We establish some weak and strong convergence theorems of the sequence
New iterative scheme with strict pseudo-contractions and multivalued nonexpansive mappings for fixed point problems and variational inequality problems
โ Scribed by J Vahidi,A Latif,M Eslamian
- Book ID
- 121619042
- Publisher
- Springer International Publishing AG
- Year
- 2013
- Tongue
- English
- Weight
- 200 KB
- Volume
- 2013
- Category
- Article
- ISSN
- 1687-1820
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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
In this paper, we propose an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of asymptotically k-strict pseudo-contractions in the setting of real Hilbert spaces. By using our proposed scheme, we ge