Continuity of minima: local results

DOI10.1007/S11228-015-0318-7zbMath1321.49030arXiv1408.1446OpenAlexW2160818650MaRDI QIDQ494872

Eugene A. Feinberg, Pavlo O. Kasyanov

Publication date: 2 September 2015

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1446

zbMATH Keywords

set-valued mappingscontinuityBerge's maximum theorem

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27)

Related Items (8)

An example showing that \(A\)-lower semi-continuity is essential for minimax continuity theorems ⋮ Continuity of discounted values and the structure of optimal policies for <scp>periodic‐review</scp> inventory systems with setup costs ⋮ Solutions for zero‐sum two‐player games with noncompact decision sets and unbounded payoffs ⋮ Berge's maximum theorem to vector-valued functions with some applications ⋮ A categorical approach to the maximum theorem ⋮ Inverse of Berge's maximum theorem in locally convex topological vector spaces and its applications ⋮ Structure of optimal policies to periodic-review inventory models with convex costs and backorders for all values of discount factors ⋮ Continuity of equilibria for two-person zero-sum games with noncompact action sets and unbounded payoffs

Cites Work

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• Berge's theorem for noncompact image sets
• Evolution inclusions and variation inequalities for Earth data Processing. I. Operator inclusions and variation inequalities for earth data processing.
• Berge's maximum theorem for noncompact image sets
• Average Cost Markov Decision Processes with Weakly Continuous Transition Probabilities
• Optimality Inequalities for Average Cost Markov Decision Processes and the Stochastic Cash Balance Problem

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