A projected fixed point algorithm with Meir-Keeler contraction for pseudocontractive mappings


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.


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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


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