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  1. Journal of Fixed Point Theory and Applications
  2. Journal of Fixed Point Theory and Applications : Volume 8
  3. Journal of Fixed Point Theory and Applications : Volume 8, Issue 2, December 2010
  4. On regularity concepts in variational analysis
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Journal of Fixed Point Theory and Applications : Volume 19
Journal of Fixed Point Theory and Applications : Volume 18
Journal of Fixed Point Theory and Applications : Volume 17
Journal of Fixed Point Theory and Applications : Volume 16
Journal of Fixed Point Theory and Applications : Volume 15
Journal of Fixed Point Theory and Applications : Volume 14
Journal of Fixed Point Theory and Applications : Volume 13
Journal of Fixed Point Theory and Applications : Volume 12
Journal of Fixed Point Theory and Applications : Volume 11
Journal of Fixed Point Theory and Applications : Volume 10
Journal of Fixed Point Theory and Applications : Volume 9
Journal of Fixed Point Theory and Applications : Volume 8
Journal of Fixed Point Theory and Applications : Volume 8, Issue 2, December 2010
Homotopy groups with coefficients
On regularity concepts in variational analysis
A more refined convexity idea for Nash equilibria
A stable convergence theorem for infinite products of nonexpansive mappings in Banach spaces
Erratum to: A higher rank Lefschetz formula
Journal of Fixed Point Theory and Applications : Volume 8, Issue 1, November 2010
Journal of Fixed Point Theory and Applications : Volume 7
Journal of Fixed Point Theory and Applications : Volume 6
Journal of Fixed Point Theory and Applications : Volume 5
Journal of Fixed Point Theory and Applications : Volume 4
Journal of Fixed Point Theory and Applications : Volume 3
Journal of Fixed Point Theory and Applications : Volume 2
Journal of Fixed Point Theory and Applications : Volume 1

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On regularity concepts in variational analysis

Content Provider Springer Nature Link
Author Ioffe, A. D.
Copyright Year 2008
Abstract The paper offers a new approach that allows unifying various regularity concepts used in variational analysis: the most fundamental local regularity triad (openness at a linear rate – metric regularity – Aubin property), the calmness–subregularity pair, directional regularity, upper Lipschitz continuity etc. The main new element of the approach is the appearance of a new parameter which is a set to which regularity is related (whence the term “relative regularity” used in the paper to name the general property). The main emphasis is put on characterizations of relative regularity and its stability with respect to additive perturbations of the (generally set-valued) mapping. A discussion of a relative extension of strong regularity properties concludes the paper.
Starting Page 339
Ending Page 363
Page Count 25
File Format PDF
ISSN 16617738
Journal Journal of Fixed Point Theory and Applications
Volume Number 8
Issue Number 2
e-ISSN 16617746
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2010-08-24
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Set-valued mapping surjection (covering) metric regularity calmness stability strong regularity Perturbation theory Set-valued and variational analysis Set valued and function-space valued mappings Set-valued functions Open mapping and closed graph theorems; completeness Set-valued operators Sensitivity, stability, parametric optimization Mathematical Methods in Physics Analysis Mathematics
Content Type Text
Resource Type Article
Subject Geometry and Topology Applied Mathematics Modeling and Simulation
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