Convergence theorems and stability results of pointwise asymptotically nonexpansive mapping in Banach space


Authors

Qiansheng Feng - Department of Mathematics, Tianjin University, Tianjin, 300354, China. Nan Jiang - Department of Mathematics, Tianjin University, Tianjin, 300354, China. Yongfu Su - Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387, China.


Abstract

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.


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ISRP Style

Qiansheng Feng, Nan Jiang, Yongfu Su, Convergence theorems and stability results of pointwise asymptotically nonexpansive mapping in Banach space, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 10, 5165--5173

AMA Style

Feng Qiansheng, Jiang Nan, Su Yongfu, Convergence theorems and stability results of pointwise asymptotically nonexpansive mapping in Banach space. J. Nonlinear Sci. Appl. (2017); 10(10):5165--5173

Chicago/Turabian Style

Feng, Qiansheng, Jiang, Nan, Su, Yongfu. "Convergence theorems and stability results of pointwise asymptotically nonexpansive mapping in Banach space." Journal of Nonlinear Sciences and Applications, 10, no. 10 (2017): 5165--5173


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