Geodesic
A composition projection method for feasibility problems and applications to equilibrium problems
Chen, Jiawei1 ; Liou, Yeong-Cheng2 ; Khan, Suhel Ahmad3 ; Wan, Zhongping4 ; Wen, Ching-Feng5
1 School of Mathematics and Statistics, Southwest University, Chongqing 400715, China;College of Computer Science, Chongqing University, Chongqing 400044, China
2 Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan
3 Department of Mathematics, BITS-Pilani, Dubai Campus, Dubai-345055, UAE
4 School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
5 Center for General Education, Kaohsiung Medical University, Kaohsiung 807, Taiwan
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 2, p. 461-470.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.009.02.12
Classification : 47H09, 65K10, 90C25
Keywords: Feasibility problem, gap vector, projection, split feasibility equilibrium problem.

Chen, Jiawei 1 ; Liou, Yeong-Cheng 2 ; Khan, Suhel Ahmad 3 ; Wan, Zhongping 4 ; Wen, Ching-Feng 5

1 School of Mathematics and Statistics, Southwest University, Chongqing 400715, China;College of Computer Science, Chongqing University, Chongqing 400044, China
2 Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan
3 Department of Mathematics, BITS-Pilani, Dubai Campus, Dubai-345055, UAE
4 School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
5 Center for General Education, Kaohsiung Medical University, Kaohsiung 807, Taiwan 
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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 its applications, Tome 9 (2016) no. 2, p. 461-470. doi : 10.22436/jnsa.009.02.12. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.02.12/

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