Title
A Further Study on Asymptotic Functions via Variational Analysis
Abstract
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.
Year
DOI
Venue
2019
10.1007/s10957-019-01507-w
Journal of Optimization Theory and Applications
Keywords
Field
DocType
Asymptotic functions, Variational analysis, Operator theory, Set convergence, Epi-convergence, 90C25, 90C26, 90C31
Convergence (routing),Variational analysis,Mathematical analysis,Epi-convergence,Horizon,Operator (computer programming),Fixed point,Operator theory,Mathematics
Journal
Volume
Issue
ISSN
182
1
0022-3239
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Felipe Lara111.10
Rubén López210.76
B. F. Svaiter360872.74