An accelerated extragradient algorithm for fixed point, pseudomonotone equilibrium and split null point problems



	An accelerated extragradient algorithm for fixed point, pseudomonotone equilibrium and split null point problems


	Fixed Point Theory, Volume 24, No. 2, 2023, 507-524, June 15th, 2023 DOI: 10.24193/fpt-ro.2023.2.04 Authors: Y. Arfat, P. Kumam, M.A.A. Khan and P.S. Ngiamsunthorn Abstract: This paper provides iterative construction of a common solution associated with the fixed point problem of an infinite family of 𝕜-demicontractive mappings, pseudomonotone equilibrium problem satisfying Lipschitz-type continuity and the split common null point problem. We propose an iterative algorithm that combines the classical extragradient method with the inertial extrapolation technique. The analysis of the proposed algorithm is two-fold: firstly, we establish strong convergence results under suitable set of constraints and secondly we verify the viability of the proposed algorithm via numerical experiment with applications. Key Words and Phrases: Monotone Înclusion, inertial extrapolation technique, pseudomonotone equilibrium problem, fixed point problem, null point problem. 2010 Mathematics Subject Classification: 47H05, 47H10, 47J25, 49M30, 54H25. Published on-line: June 15th, 2023. Fulltext pdf Back to volume's table of contents