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arXiv · 2001.07346

Strong convergence of modified inertial Mann algorithms for nonexpansive mappings

Bing Tan·Zheng Zhou·Songxiao Li
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Abstract

In this paper, we introduce two new modified inertial Mann Halpern and viscosity algorithms for solving fixed point problems. We establish strong convergence theorems under some suitable conditions. Finally, our algorithms are applied to split feasibility problem, convex feasibility problem and location theory. The algorithms and results presented in this paper can summarize and improve corresponding results previously known in this area.

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Bing Tan, Zheng Zhou, Songxiao Li. 2020-01-21. Strong convergence of modified inertial Mann algorithms for nonexpansive mappings. https://doi.org/10.3390/math8040462

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