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SIAM Journal on Control and Optimization
Article . 1997 . Peer-reviewed
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Sequential Convex Subdifferential Calculus and Sequential Lagrange Multipliers

Sequential convex subdifferential calculus and sequential Lagrange multipliers
Authors: Lionel Thibault;

Sequential Convex Subdifferential Calculus and Sequential Lagrange Multipliers

Abstract

Summary: The aim of this paper is to establish formulas for the subdifferentials of the sum and the composition of convex functions in terms of the subdifferentials of the data functions at nearby points. Applications to general optimization problems lead to a new notion of sequential Lagrange multipliers.

Keywords

Programming in abstract spaces, Convex programming, Calculus of functions on infinite-dimensional spaces, Convex functions and convex programs in convex geometry, sequential Lagrange multipliers, Nonsmooth analysis, sequential subdifferential calculus, subdifferentials, \(\varepsilon\)-subdifferential

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
58
Top 10%
Top 10%
Average
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