New Multirectional Mean Value Inequality

zbMath1407.49017arXiv1701.01478MaRDI QIDQ4557939

Mihail Hamamdjiev, Milen Ivanov

Publication date: 27 November 2018

Full work available at URL: https://arxiv.org/abs/1701.01478

zbMATH Keywords

mean value inequalitymultidirectional mean value theoremconvex hull of setsfeasible subdifferential

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Optimality conditions for problems in abstract spaces (49K27)

Cites Work

• On nonconvex version of the inequality of Clarke and Ledyaev
• Clarke-Ledyaev mean value inequalities in smooth Banach spaces
• Mean Value Inequalities in Hilbert Space
• Mean Value Inequalities
• MULTIDIRECTIONAL MEAN VALUE INEQUALITIES AND WEAK MONOTONICITY
• Nonsmooth Constrained Optimization and Multidirectional Mean Value Inequalities
• A strong mean value theorem and applications
• Integrability of subdifferentials of directionally Lipschitz functions

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