Approximation Methods for Nonexpansive Type Mappings in Hadamard Manifolds

作者: Genaro López , Victoria Martín-Márquez

DOI: 10.1007/978-1-4419-9569-8_14

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摘要: Nonexpansrive type mappings defined on Hadamard manifolds and iterative methods for approximating fixed points of these are surveyed. The close relationship with monotone vector fields is pointed out some numerical examples included.

参考文章(68)
Victoria Martín Márquez, Fixed point approximation methods for nonexpansive mappings: Optimization problems. Universidad de Sevilla. ,(2010)
Eberhard Zeidler, Leo F. Boron, Nonlinear monotone operators Springer-Verlag. ,(1990)
Németh S.Z., Five kinds of monotone vector fields Pure mathematics and applications. ,vol. 9, pp. 417- 428 ,(1998)
Ivan Singer, The theory of best approximation and functional analysis Society for Industrial and Applied Mathematics. ,(1974) , 10.1137/1.9781611970548
O. P. Ferreira, P. R. Oliveira, Subgradient Algorithm on Riemannian Manifolds Journal of Optimization Theory and Applications. ,vol. 97, pp. 93- 104 ,(1998) , 10.1023/A:1022675100677
H. Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert North-Holland Pub. Co , American Elsevier Pub. Co.. ,(1973)