Full Text: PDF
Received September 22, 2018; Accepted February 22, 2019; Published March 15, 2019
Abstract. In this paper, we propose a subgradient projection algorithm for solving the multiple-sets split equality problem (MSSEP), and investigate its linear convergence. We involve the bounded linear regularity for the MSSEP, and construct several sufficient conditions to ensure the linear convergence of our proposed algorithm. One of the highlights of our algorithm is that metric projections onto given feasibility sets are easily calculated (that is, the projections onto half-spaces). Some numerical results are provided to illustrate the validity of our proposed algorithm.
How to Cite this Article:
Meiling Feng, Luoyi Shi, Rudong Chen, Linear convergence of an iterative algorithm for solving the multiple-sets split equality problem, Journal of Nonlinear Functional Analysis, Vol. 2019 (2019), Article ID 9, pp. 1-12.