Continuity of Minima: Local Results
Eugene A. Feinberg, Pavlo O. Kasyanov
TL;DR
This paper extends classical theorems on the continuity of minima, providing generalized local results that encompass previous global and local maximum theorems for noncompact sets.
Contribution
It generalizes Berge's maximum theorem and the local maximum theorem to broader settings involving noncompact image sets.
Findings
Unified framework for continuity of minima
Generalized conditions for noncompact sets
Connections between global and local maximum theorems
Abstract
This paper compares and generalizes Berge's maximum theorem for noncompact image sets established in Feinberg, Kasyanov and Voorneveld (2014) and the local maximum theorem established in Bonnans and Shapiro (2000).
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Topology and Set Theory · Limits and Structures in Graph Theory