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Volume 6, Issue 4, 1 August 2022, Pages 371-391
Abstract. In this paper, several inertial algorithms which combine the established viscosity iteration and cyclic processes for finding a solution of a multi-set split common fixed problem are investigated. The inertial parameters in our algorithms can be positive or negative, which may have fewer steps to meet the requirements than selecting all positive parameters. Under the appropriate conditions, our proposed algorithms are proven to converge strongly. A compressed sensing example is reported to demonstrate the computational implementation of our algorithms and the quality of image restoration.
How to Cite this Article:
Peichao Duan, Yanyan Han, Xuemei Liu, Yiqun Zhang, Viscosity and inertial algorithms for the split common fixed point problem with applications to compressed sensing, J. Nonlinear Var. Anal. 6 (2022), 371-391.