Implicit viscosity iterative algorithm for nonexpansive mapping on Hadamard manifolds



	Implicit viscosity iterative algorithm for nonexpansive mapping on Hadamard manifolds


	Fixed Point Theory, Volume 24, No. 1, 2023, 213-220, February 1st, 2023 DOI: 10.24193/fpt-ro.2023.1.10 Authors: Huimin He, Jigen Peng and Haiyang Li Abstract: In this paper, an implicit viscosity iterative algorithm for nonexpansive mappings is proposed and investigated on Hadamard manifolds. A convergence theorem of a fixed point of a nonexpansive mapping is established on Hadamard manifolds. It is proved that the fixed point also solves a variational inequality. Key Words and Phrases: Hadamard manifold, fixed points, convergence, iterative algorithm. 2010 Mathematics Subject Classification: 47H05, 47J25, 58A05, 58C30. Published on-line: February 1st, 2023. Fulltext pdf Back to volume's table of contents