Approximation of solutions of nonlinear problems in hyperbolic spaces
Fixed Point Methods and Optimization, Volume 1, Issue 1, June 2024, Pages 69–87
MURTALA HARUNA HARBAU
Department of Science and Technology Education, Bayero University, Kano 700103, Nigeria
SAHURA BADAMASI MUHAMMAD
Department of Mathematical sciences, Bayero University, Kano 700103, Nigeria
Department of Mathematics, Aliko Dangote University of Science and Technology, Wudil, Kano 700103, Nigeria
GODWIN CHIDI UGWUNNADI
Department of Mathematics, University of Eswatini, Private Bag 4, Kwaluseni M201, Eswatini
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Pretoria 0204, South Africa
Abstract
In this paper, we introduce a new iterative algorithm for approximating a common element of the set of solutions of an attractive point of further 2-generalized hybrid mapping, equilibrium problem and a common zero of a finite family of monotone operators in hyperbolic spaces. We establish strong convergence theorem under suitable assumptions, and also give numerical example to support our main result. Our results generalize and improve many recent results in the literature.
Cite this Article as
Murtala Haruna Harbau, Sahura Badamasi Muhammad and Godwin Chidi Ugwunnadi, Approximation of solutions of nonlinear problems in hyperbolic spaces, Fixed Point Methods and Optimization, 1 (2024), 69–87