Attractive points and convergence theorems of generalized hybrid mapping
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Authors
Yuchun Zheng
- School of Mathematics and Information Science, Henan Normal University, XinXiang, 453007, P. R. China.
Abstract
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.
Share and Cite
ISRP Style
Yuchun Zheng, Attractive points and convergence theorems of generalized hybrid mapping, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 4, 354--362
AMA Style
Zheng Yuchun, Attractive points and convergence theorems of generalized hybrid mapping. J. Nonlinear Sci. Appl. (2015); 8(4):354--362
Chicago/Turabian Style
Zheng, Yuchun. "Attractive points and convergence theorems of generalized hybrid mapping." Journal of Nonlinear Sciences and Applications, 8, no. 4 (2015): 354--362
Keywords
- Attractive points
- generalized hybrid mapping
- Ishikawa iteration
- Mann iteration
- Xu's inequality.
MSC
- 47H10
- 54H25
- 49J40
- 47H05
- 47H04
- 65J15
References
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