NDLI: Computational complexity of fixed points

Content Provider	Springer Nature Link
Author	Sikorski, Krzysztof
Copyright Year	2009
Abstract	A review of computational complexity results for approximating fixed points of Lipschitz functions is presented. Univariate and multivariate results are summarized for the second and infinity norm cases as well as the absolute, residual and relative error criteria. Contractive, nonexpansive, directionally nonexpansive, and expansive classes of functions are considered and optimal or nearly optimal algorithms exhibited. Some numerical experiments are summarized. A literature devoted to the complexity aspects of fixed point problems is listed.
Starting Page	249
Ending Page	283
Page Count	35
File Format	PDF
ISSN	16617738
Journal	Journal of Fixed Point Theory and Applications
Volume Number	6
Issue Number	2
e-ISSN	16617746
Language	English
Publisher	Birkhäuser-Verlag
Publisher Date	2009-12-09
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Computational complexity fixed points economics game theory Fixed-point theorems Complexity and performance of numerical algorithms Analysis of algorithms and problem complexity Mathematics Analysis Mathematical Methods in Physics
Content Type	Text
Resource Type	Article
Subject	Geometry and Topology Applied Mathematics Modeling and Simulation

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Computational complexity of fixed points