Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space

• Published in: Optimization Vol. 70; no. 2; pp. 387 - 412
• Main Authors: Jolaoso, L. O., Alakoya, T. O., Taiwo, A., Mewomo, O. T.
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 01.02.2021; Taylor & Francis LLC
• Subjects: Algorithms; Approximation; bifunction; Convergence; equilibrium problem; extragradient method; fixed point; Hilbert space; inertial algorithm; Iterative methods; numerical result; Pseudo-monotone; Viscosity; viscosity approximation

In this paper, we propose a new viscosity type inertial extragradient method with Armijo line-search technique for approximating a common solution of equilibrium problem with pseudo-monotone bifunction and fixed points of relatively nonexpansive mapping in a real Hilbert space. Two advantages of our...