A Further Study on Asymptotic Functions via Variational Analysis

Autor:	Benar Fux Svaiter, Rubén López, Felipe Lara
Rok vydání:	2019
Předmět:	Control and Optimization Operator (computer programming) Applied Mathematics Horizon Theory of computation Convergence (routing) Applied mathematics Management Science and Operations Research Variational analysis Fixed point Domain (mathematical analysis) Mathematics Image (mathematics)
Zdroj:	Journal of Optimization Theory and Applications. 182:366-382
ISSN:	1573-2878 0022-3239
DOI:	10.1007/s10957-019-01507-w
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f1cda238beeb0f94e6b521bf090633fe https://doi.org/10.1007/s10957-019-01507-w Zobrazit plný text záznamu Full text from SpringerLink