Taiwanese Journal of Mathematics


Chong Chong, Genaro Lopez, and Victoria Martquez

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Two iterative algorithms for nonexpansive mappings on Hadamard manifolds, which are extensions of the well-known Halpern's and Mann's algorithms in Euclidean spaces, are proposed and proved to be convergent to a fixed point of the mapping. Some numerical examples are provided.

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Taiwanese J. Math., Volume 14, Number 2 (2010), 541-559.

First available in Project Euclid: 18 July 2017

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Primary: 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc. 47H14: Perturbations of nonlinear operators [See also 47A55, 58J37, 70H09, 70K60, 81Q15] 65K05: Mathematical programming methods [See also 90Cxx] 90C25: Convex programming

Hadamard manifold nonexpansive mapping fixed point iterative algorithm


Chong, Chong; Lopez, Genaro; Martquez, Victoria. ITERATIVE ALGORITHMS FOR NONEXPANSIVE MAPPINGS ON HADAMARD MANIFOLDS. Taiwanese J. Math. 14 (2010), no. 2, 541--559. doi:10.11650/twjm/1500405806. https://projecteuclid.org/euclid.twjm/1500405806

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