Strong Convergence of Modified Inertial Mann Algorithms for Nonexpansive Mappings

Bing Tan, Zheng Zhou and Songxiao Li
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Bing Tan: Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China
Zheng Zhou: Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China
Songxiao Li: Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China

Mathematics, 2020, vol. 8, issue 4, 1-11

Abstract: We investigated two new modified inertial Mann Halpern and inertial Mann viscosity algorithms for solving fixed point problems. Strong convergence theorems under some fewer restricted conditions are established in the framework of infinite dimensional Hilbert spaces. Finally, some numerical examples are provided to support our main results. The algorithms and results presented in this paper can generalize and extend corresponding results previously known in the literature.

Keywords: Halpern algorithm; viscosity algorithm; inertial method; nonexpansive mapping; strong convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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