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

作者:Chen, Jiawei*; Liou, Yeong-Cheng; Khan, Suhel Ahmad; Wan, Zhongping; Wen, Ching-Feng
来源:Journal of Nonlinear Sciences and Applications, 2016, 9(2): 461-470.
DOI:10.22436/jnsa.009.02.12

摘要

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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