Geodesic
Convergence theorems and stability results of pointwise asymptotically nonexpansive mapping in Banach space
Feng, Qiansheng 1 ; Jiang, Nan 1 ; Su, Yongfu 2
1 Department of Mathematics, Tianjin University, Tianjin, 300354, China
2 Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387, China
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 10, p. 5165-5173.

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

The purpose of this paper is to approximate the fixed point of pointwise asymptotically nonexpansive mapping using the generalized Mann and generalized Ishikawa iterative scheme. And under the condition that the pointwise asymptotically nonexpansive mapping is compact, the stability results of the two iterative schemes are studied. The main results of this paper modify and improve many important recent results in the literature.
DOI : 10.22436/jnsa.010.10.04
Classification : 47H05, 47H09, 47H10
Keywords: Pointwise asymptotically nonexpansive mapping, generalized Mann iterative scheme, generalized Ishikawa iterative scheme, stability result, convergence theorem

Feng, Qiansheng  1 ; Jiang, Nan  1 ; Su, Yongfu  2

1 Department of Mathematics, Tianjin University, Tianjin, 300354, China
2 Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387, China 
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Feng, Qiansheng ; Jiang, Nan ; Su, Yongfu . Convergence theorems and stability results of pointwise asymptotically nonexpansive mapping in Banach space. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 10, p. 5165-5173. doi : 10.22436/jnsa.010.10.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.10.04/

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