Iterative algorithms with perturbations for Lipschitz pseudocontractive mappings in Banach spaces
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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.
MSC
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