Geodesic
Attractive points and convergence theorems of generalized hybrid mapping
Zheng, Yuchun1
1 School of Mathematics and Information Science, Henan Normal University, XinXiang, 453007, P. R. China
Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 4, p. 354-362.

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

In this paper, by means of the concept of attractive points of a nonlinear mapping, we prove strong convergence theorem of the Ishikawa iteration for an ($\alpha,\beta$)-generalized hybrid mapping in a uniformly convex Banach space, and obtain weak convergence theorem of the Ishikawa iteration for such a mapping in a Hilbert space.
DOI : 10.22436/jnsa.008.04.08
Classification : 47H10, 54H25, 49J40, 47H05, 47H04, 65J15
Keywords: Attractive points, generalized hybrid mapping, Ishikawa iteration, Mann iteration, Xu's inequality.

Zheng, Yuchun 1

1 School of Mathematics and Information Science, Henan Normal University, XinXiang, 453007, P. R. China 
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Zheng, Yuchun. Attractive points and convergence theorems of generalized hybrid mapping. Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 4, p. 354-362. doi : 10.22436/jnsa.008.04.08. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.008.04.08/

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