Convex and Set-Valued Analysis

DOI10.1515/9783110460308zbMath1357.49001OpenAlexW2610743701MaRDI QIDQ3187819

Valerii V. Obukhovskij, Aram V. Arutyunov

Publication date: 5 September 2016

Full work available at URL: https://doi.org/10.1515/9783110460308

zbMATH Keywords

fixed pointHausdorff metricVietoris topologyconvex functionsubdifferentialset-valued mappingdegree theoryconvex setconjugate functioncontinuous selectionmeasurable selectiondifferentiable inclusion

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Set-valued operators (47H04) Selections in general topology (54C65) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Set-valued and function-space-valued mappings on manifolds (58C06) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control (49-01)

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