Abstract | ||
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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 Lara | 1 | 1 | 1.10 |
Rubén López | 2 | 1 | 0.76 |
B. F. Svaiter | 3 | 608 | 72.74 |