A composition projection method for feasibility problems and applications to equilibrium problems


Authors

Jiawei Chen - School of Mathematics and Statistics, Southwest University, Chongqing 400715, China. - College of Computer Science, Chongqing University, Chongqing 400044, China. Yeong-Cheng Liou - Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan. Suhel Ahmad Khan - Department of Mathematics, BITS-Pilani, Dubai Campus, Dubai-345055, UAE. Zhongping Wan - School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China. Ching-Feng Wen - Center for General Education, Kaohsiung Medical University, Kaohsiung 807, Taiwan.


Abstract

In this article, we propose a composition projection algorithm for solving feasibility problem in Hilbert space. The convergence of the proposed algorithm are established by using gap vector which does not involve the nonempty intersection assumption. Moreover, we provide the sufficient and necessary condition for the convergence of the proposed method. As an application, we investigate the split feasibility equilibrium problem.


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ISRP Style

Jiawei Chen, Yeong-Cheng Liou, Suhel Ahmad Khan, Zhongping Wan, Ching-Feng Wen, A composition projection method for feasibility problems and applications to equilibrium problems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 2, 461--470

AMA Style

Chen Jiawei, Liou Yeong-Cheng, Khan Suhel Ahmad, Wan Zhongping, Wen Ching-Feng, A composition projection method for feasibility problems and applications to equilibrium problems. J. Nonlinear Sci. Appl. (2016); 9(2):461--470

Chicago/Turabian Style

Chen, Jiawei, Liou, Yeong-Cheng, Khan, Suhel Ahmad, Wan, Zhongping, Wen, Ching-Feng. "A composition projection method for feasibility problems and applications to equilibrium problems." Journal of Nonlinear Sciences and Applications, 9, no. 2 (2016): 461--470


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