# Iterative algorithms with perturbations for Lipschitz pseudocontractive mappings in Banach spaces

Volume 8, Issue 6, pp 935--943
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### Authors

Zhangsong Yao - School of Mathematics & Information Technology, Nanjing Xiaozhuang University, Nanjing 211171, China. Li-Jun Zhu - School of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan 750021, China. Shin Min Kang - Department of Mathematics and the RINS, Gyeongsang National University, Jinju 660-701, Korea. Yeong-Cheng Liou - Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan. - Center for General Education, Kaohsiung Medical University, Kaohsiung 807, Taiwan.

### Abstract

In this paper, we present an iterative algorithm with perturbations for Lipschitz pseudocontractive mappings in Banach spaces. Consequently, we give the convergence analysis of the suggested algorithm. Our result improves the corresponding results in the literature.

### Share and Cite

##### ISRP Style

Zhangsong Yao, Li-Jun Zhu, Shin Min Kang, Yeong-Cheng Liou, Iterative algorithms with perturbations for Lipschitz pseudocontractive mappings in Banach spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 935--943

##### AMA Style

Yao Zhangsong, Zhu Li-Jun, Kang Shin Min, Liou Yeong-Cheng, Iterative algorithms with perturbations for Lipschitz pseudocontractive mappings in Banach spaces. J. Nonlinear Sci. Appl. (2015); 8(6):935--943

##### Chicago/Turabian Style

Yao, Zhangsong, Zhu, Li-Jun, Kang, Shin Min, Liou, Yeong-Cheng. "Iterative algorithms with perturbations for Lipschitz pseudocontractive mappings in Banach spaces." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 935--943

### Keywords

• Strong convergence
• pseudocontractive mapping
• fixed point
• Banach space.

•  47H05
•  47H10
•  47H17

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