Convex Analysis and Beyond

DOI10.1007/978-3-030-94785-9zbMath1506.90001OpenAlexW4226077233MaRDI QIDQ5028381

Nguyen Mau Nam, Boris S. Mordukhovich

Publication date: 9 February 2022

Published in: Springer Series in Operations Research and Financial Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-94785-9

zbMATH Keywords

nonsmooth analysisnonsmooth optimizationconvex optimizationsubdifferentialsubgradientconvex analysisvariational analysisnonconvex analysis

Mathematics Subject Classification ID

Convex programming (90C25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming (90-01) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (14)

Convex Optimization Problems on Differentiable Sets ⋮ Convex Representatives of the Value Function and Aumann Integrals in Normed Spaces ⋮ Differential stability of discrete optimal control problems with possibly nondifferentiable costs ⋮ Optimality conditions in DC-constrained mathematical programming problems ⋮ Coincidence points of parameterized generalized equations with applications to optimal value functions ⋮ A prediction-correction ADMM for multistage stochastic variational inequalities ⋮ Relationships between polyhedral convex sets and generalized polyhedral convex sets ⋮ Differential stability in a multi-objective optimal control problems with a possibly empty solution set ⋮ Variational Convexity of Functions and Variational Sufficiency in Optimization ⋮ Nonlinear Cone Separation Theorems in Real Topological Linear Spaces ⋮ Subdifferentials of optimal value functions under metric qualification conditions ⋮ Basic Convex Analysis in Metric Spaces with Bounded Curvature ⋮ Unnamed Item ⋮ Unnamed Item

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