A projected fixed point algorithm with Meir-Keeler contraction for pseudocontractive mappings
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Authors
Yonghong Yao
- Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China.
Naseer Shahzad
- Department of Mathematics, King Abdulaziz University, P. O. B. 80203, Jeddah 21589, Saudi Arabia.
Yeong-Cheng Liou
- Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan.
- Center for General Education, Kaohsiung Medical University, Kaohsiung 807, Taiwan.
Li-Jun Zhu
- School of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan 750021, China.
Abstract
In this paper, we introduce a projected algorithm with Meir-Keeler contraction for finding the fixed points of the pseudocontractive
mappings. We prove that the presented algorithm converges strongly to the fixed point of the pseudocontractive
mapping in Hilbert spaces.
Share and Cite
ISRP Style
Yonghong Yao, Naseer Shahzad, Yeong-Cheng Liou, Li-Jun Zhu, A projected fixed point algorithm with Meir-Keeler contraction for pseudocontractive mappings, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 2, 483--491
AMA Style
Yao Yonghong, Shahzad Naseer, Liou Yeong-Cheng, Zhu Li-Jun, A projected fixed point algorithm with Meir-Keeler contraction for pseudocontractive mappings. J. Nonlinear Sci. Appl. (2017); 10(2):483--491
Chicago/Turabian Style
Yao, Yonghong, Shahzad, Naseer, Liou, Yeong-Cheng, Zhu, Li-Jun. "A projected fixed point algorithm with Meir-Keeler contraction for pseudocontractive mappings." Journal of Nonlinear Sciences and Applications, 10, no. 2 (2017): 483--491
Keywords
- Projected algorithm
- pseudocontractive mapping
- fixed point.
MSC
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