A Further Study on Asymptotic Functions via Variational Analysis

A Further Study on Asymptotic Functions via Variational Analysis

We use variational analysis for studying asymptotic (recession or horizon) functions. We introduce the upper and lower asymptotic operators and study their domain and image. Moreover, we characterize their fixed points and zeros. Finally, we establish continuity properties of this operator, i.e., th...

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Veröffentlicht in:Journal of optimization theory and applications 2019-07, Vol.182 (1), p.366-382
Hauptverfasser: Lara, Felipe, López, Rubén, Svaiter, Benar F.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Asymptotic properties
Calculus of Variations and Optimal Control
Optimization
Convergence
Engineering
Fixed points (mathematics)
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Operators (mathematics)
Optimization
Recession
Theory of Computation
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Beschreibung
Zusammenfassung:We use variational analysis for studying asymptotic (recession or horizon) functions. We introduce the upper and lower asymptotic operators and study their domain and image. Moreover, we characterize their fixed points and zeros. Finally, we establish continuity properties of this operator, i.e., the convergence of asymptotic functions of convergent sequences of functions.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-019-01507-w