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- Title
Viscosity extragradient with modified inertial method for solving equilibrium problems and fixed point problem in Hadamard manifold.
- Authors
Ndlovu, P. V.; Jolaoso, L. O.; Aphane, M.; Abass, H. A.
- Abstract
In this article, we propose a viscosity extragradient algorithm together with an inertial extrapolation method for approximating the solution of pseudomonotone equilibrium and fixed point problem of a nonexpansive mapping in the setting of a Hadamard manifold. We prove that the sequence generated by our iterative method converges to a solution of the above problems under some mild conditions. Finally, we outline some implications of our results and present several numerical examples showing the implementability of our algorithm. The results of this article extend and complement many related results in linear spaces.
- Subjects
NONEXPANSIVE mappings; PROBLEM solving; VISCOSITY; VECTOR spaces; EXTRAPOLATION
- Publication
Journal of Inequalities & Applications, 2024, Vol 2024, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-024-03099-0