Two generalized strong convergence algorithms for variational inequality problems in Banach spaces



	Two generalized strong convergence algorithms for variational inequality problems in Banach spaces


	Fixed Point Theory, Volume 25, No. 1, 2024, 143-162, February 1st, 2024 DOI: 10.24193/fpt-ro.2024.1.09 Authors: Mostafa Ghadampour, Ebrahim Soori, Ravi P. Agarwal and Donal O'Regan Abstract: In this paper, two generalized algorithms for solving the variational inequality problem in Banach spaces are proposed. Then the strong convergence of the sequences generated by these algorithms will be proved under suitable conditions. Finally, using MATLAB software, we provide some numerical examples to illustrate our results. Key Words and Phrases: Variational inequality, relatively nonexpansive mapping, monotone mapping, asymptotical fixed point. 2010 Mathematics Subject Classification: 47H09, 47H10. Published on-line: February 1st, 2024. Fulltext pdf Back to volume's table of contents