Subderivative-subdifferential duality formula
Marc Lassonde
TL;DR
This paper introduces a duality formula that connects the radial subderivative with other subderivatives and subdifferentials for lower semicontinuous functions, enhancing understanding of their relationships.
Contribution
It presents a novel duality formula linking radial subderivatives to other subdifferentials for extended real-valued functions.
Findings
Established a new duality formula for subderivatives and subdifferentials.
Unified various subdifferential concepts under a common framework.
Abstract
We provide a formula linking the radial subderivative to other subderivatives and subdifferentials for arbitrary extended real-valued lower semicontinuous functions.
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Taxonomy
TopicsOptimization and Variational Analysis · Nonlinear Partial Differential Equations · Contact Mechanics and Variational Inequalities