A General Inertial Viscosity Type Method for Nonexpansive Mappings and Its Applications in Signal Processing

Yinglin Luo, Meijuan Shang and Bing Tan
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Yinglin Luo: Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China
Meijuan Shang: College of Science, Shijiazhuang University, Shijiazhuang 050035, China
Bing Tan: Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China

Mathematics, 2020, vol. 8, issue 2, 1-18

Abstract: In this paper, we propose viscosity algorithms with two different inertia parameters for solving fixed points of nonexpansive and strictly pseudocontractive mappings. Strong convergence theorems are obtained in Hilbert spaces and the applications to the signal processing are considered. Moreover, some numerical experiments of proposed algorithms and comparisons with existing algorithms are given to the demonstration of the efficiency of the proposed algorithms. The numerical results show that our algorithms are superior to some related algorithms.

Keywords: nonexpansive mapping; strict pseudo-contraction; variational inequality problem; inclusion problem; signal processing (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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