Geodesic
General iteration scheme for finding the common fixed points of an infinite family of nonexpansive mappings
Wu, Guangrong1 ; Yang, Liping1
1 School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 11, p. 5720-5732.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The purpose of this paper is to suggest and analyze the general viscosity iteration scheme for an infinite family of nonexpansive mappings $\{T_i\}^\infty_{i=1}$. Additionally, it proves that this iterative scheme converges strongly to a common fixed point of $\{T_i\}^\infty_{i=1}$ in the framework of reflexive and smooth convex Banach space, which solves some variational inequality. Results proved in this paper improve and generalize recent known results in the literature.
DOI : 10.22436/jnsa.009.11.01
Classification : 47H09, 47H10, 47J20
Keywords: Nonexpansive mapping, general iteration scheme, contraction, smooth Banach space.

Wu, Guangrong 1 ; Yang, Liping 1

1 School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China 
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Wu, Guangrong; Yang, Liping. General iteration scheme for finding the common fixed points of an infinite family of nonexpansive mappings. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 11, p. 5720-5732. doi : 10.22436/jnsa.009.11.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.11.01/

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