# Attractive points and convergence theorems of generalized hybrid mapping

Volume 8, Issue 4, pp 354--362
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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.

•  47H10
•  54H25
•  49J40
•  47H05
•  47H04
•  65J15

### References

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