6533b7cefe1ef96bd125788e

RESEARCH PRODUCT

The approximate subdifferential of composite functions

Abderrahim JouraniLionel Thibault

subject

Mathematics::Functional AnalysisComputer Science::Systems and ControlGeneral MathematicsMathematical analysisComposite numberMathematics::Optimization and ControlBanach spaceApplied mathematicsFunction (mathematics)SubderivativeChain ruleMathematics

description

This paper deals with the approximate subdifferential chain rule in a Banach space. It establishes specific results when the real-valued function is locally Lipschitzian and the mapping is strongly compactly Lipschitzian.

https://doi.org/10.1017/s0004972700015276