TY - JOUR
T1 - A Riemannian Inertial Mann Algorithm for Nonexpansive Mappings on Hadamard Manifolds
AU - Yao , Teng-Teng
AU - Jin , Xiao-Qing
AU - Zhao , Zhi
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 954
EP - 967
PY - 2023
DA - 2023/11
SN - 16
DO - http://doi.org/10.4208/nmtma.OA-2023-0039
UR - https://global-sci.org/intro/article_detail/nmtma/22118.html
KW - Nonexpansive mapping, Hadamard manifold, fixed point, inertial Mann algorithm.
AB - <p style="text-align: justify;">The problem of finding fixed points of nonexpansive mappings on Hadamard manifolds is considered in this paper. To solve this kind of problem, we propose
a modified Riemannian Mann algorithm with inertial effect. Under the assumption
of existence of fixed points of the nonexpansive mapping, the global convergence
of the proposed algorithm is established. To show the efficiency of the proposed
algorithm, numerical comparisons with some existing algorithms are reported.</p>