Open Access
2010 ITERATIVE ALGORITHMS FOR NONEXPANSIVE MAPPINGS ON HADAMARD MANIFOLDS
Chong Chong, Genaro Lopez, Victoria Martquez
Taiwanese J. Math. 14(2): 541-559 (2010). DOI: 10.11650/twjm/1500405806

Abstract

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.

Citation

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Chong Chong. Genaro Lopez. Victoria Martquez. "ITERATIVE ALGORITHMS FOR NONEXPANSIVE MAPPINGS ON HADAMARD MANIFOLDS." Taiwanese J. Math. 14 (2) 541 - 559, 2010. https://doi.org/10.11650/twjm/1500405806

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1217.47118
MathSciNet: MR2655786
Digital Object Identifier: 10.11650/twjm/1500405806

Subjects:
Primary: 47H09 , 47H14 , 65K05 , 90C25

Keywords: fixed point , Hadamard manifold , iterative algorithm , Nonexpansive mapping

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 2 • 2010
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