Sequential Convex Subdifferential Calculus and Sequential Lagrange Multipliers

Authors:
Lionel Thibault
Affiliations:
-
Venue:
SIAM Journal on Control and Optimization
Year:
1997

Citing 0
Cited 3

Limiting ε-subgradient characterizations of constrained best approximation

Journal of Approximation Theory
Limiting ε-subgradient characterizations of constrained best approximation

Journal of Approximation Theory
Functional Inequalities in the Absence of Convexity and Lower Semicontinuity with Applications to Optimization

SIAM Journal on Optimization

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Abstract

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.