Stability of Possibly Nonisolated Solutions of Constrained Equations, with Applications to Complementarity and Equilibrium Problems-Reference-Cited by-同舟云学术

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Stability of Possibly Nonisolated Solutions of Constrained Equations, with Applications to Complementarity and Equilibrium Problems

Published:2017-10-30 Issue:2 Volume:26 Page:327-352
ISSN:1877-0533
Container-title:Set-Valued and Variational Analysis
language:en
Short-container-title:Set-Valued Var. Anal

Author:

Arutyunov A. V.,Izmailov A. F.

Funder

Russian Foundation for Basic Research (RU)

Russian Science Foundation

Ministry of Education and Science of the Russian Federation

Volkswagen Foundation

RUDN University Program 5-100

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Link

http://link.springer.com/article/10.1007/s11228-017-0459-y/fulltext.html

Reference35 articles.

1. Arutyunov, A.V.: Optimality Conditions: Abnormal and Degenerate Problems. Kluwer Academic Publishers, Dordrecht (2000)

2. Arutyunov, A.V.: Covering of nonlinear maps on a cone in neighborhoods of irregular points. Math. Notes. 77, 447–460 (2005)

3. Arutyunov, A.V.: Smooth abnormal problems in extremum theory and analysis. Russian Math. Surveys 67, 403–457 (2012)

4. Arutyunov, A., Avakov, E., Gel’man, B., Dmitruk, A., Obukhovskii, V.: Locally covering maps in metric spaces and coincidence points. J. Fixed Point Theory Appl. 5, 105–127 (2009)

5. Arutyunov, A.V., Avakov, E.R., Zhukovskiy, S.E.: Stability theorems for estimating the distance to a set of coincidence points. SIAM J. Optim. 25, 807–828 (2015)

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1. Behavior of Newton-Type Methods Near Critical Solutions of Nonlinear Equations with Semismooth Derivatives;Journal of Optimization Theory and Applications;2023-12-18

2. Stability of Singular Solutions of Nonlinear Equations with Restricted Smoothness Assumptions;Journal of Optimization Theory and Applications;2023-01-19

3. On Ranges of Non-linear Operators;Set-Valued and Variational Analysis;2022-01-31

4. Newton-type methods near critical solutions of piecewise smooth nonlinear equations;Computational Optimization and Applications;2021-08-06

5. Constrained Lipschitzian Error Bounds and Noncritical Solutions of Constrained Equations;Set-Valued and Variational Analysis;2020-11-09

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