Hybrid Inertial Accelerated Algorithms for Solving Split Equilibrium and Fixed Point Problems

Yanlai Song
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Yanlai Song: College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China

Mathematics, 2021, vol. 9, issue 21, 1-19

Abstract: In this paper, we introduce a new hybrid inertial accelerated algorithm with a line search technique for solving fixed point problems for demimetric mapping and split equilibrium problems in Hilbert spaces. The algorithm is inspired by Tseng’s extragradient method and the viscosity method. Then, we establish and prove the strong convergence theorem under proper conditions. Furthermore, we also give a numerical example to support the main results. The main results are new and the proofs are relatively simple and different from those in early and recent literature.

Keywords: strong convergence; split equilibrium problem; demimetric mapping; hybrid inertial accelerated algorithms; Armijo-like step size rule (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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