Multi-Step Inertial Hybrid and Shrinking Tseng’s Algorithm with Meir–Keeler Contractions for Variational Inclusion Problems

Yuanheng Wang, Mingyue Yuan and Bingnan Jiang
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Yuanheng Wang: College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China
Mingyue Yuan: College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China
Bingnan Jiang: College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2021, vol. 9, issue 13, 1-13

Abstract: In our paper, we propose two new iterative algorithms with Meir–Keeler contractions that are based on Tseng’s method, the multi-step inertial method, the hybrid projection method, and the shrinking projection method to solve a monotone variational inclusion problem in Hilbert spaces. The strong convergence of the proposed iterative algorithms is proven. Using our results, we can solve convex minimization problems.

Keywords: Meir–Keeler contractions; multi-step inertial method; hybrid projection method; shrinking projection method; variational inclusion problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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