Generalized Hukuhara-Clarke Derivative of Interval-valued
Functions and its Properties

J 2021

Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties

RAMÍK, Jaroslav a Debdas GHOSH

Základní údaje

Originální název

Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties

Název česky

Zobecněná Hukuhara-Clarke derivace intervalové funkce a její vlastnosti

Autoři

RAMÍK, Jaroslav (203 Česká republika, domácí) a Debdas GHOSH (garant)

Vydání

Soft Computing, Amsterodam, Netherlands, Elsevier, 2021, 1432-7643

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10201 Computer sciences, information science, bioinformatics

Stát vydavatele

Švýcarsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Kód RIV

RIV/47813059:19520/21:A0000257

Organizační jednotka

Obchodně podnikatelská fakulta v Karviné

DOI

http://dx.doi.org/10.1007/s00500-021-06251-w

UT WoS

000703515700005

Klíčová slova anglicky

Interval valued functions; Upper gH Clarke derivative; Sublinear IVF; gH Lipschitz function;

Štítky

impakt

Změněno: 11. 4. 2022 07:24, Miroslava Snopková

Anotace

V originále

This paper is devoted to the study of gH-Clarke derivative for interval-valued functions. To find properties of the gH-Clarke derivative, the concepts of limit superior, limit inferior, and sublinear interval-valued functions are studied in the sequel. It is proved that the upper gH-Clarke derivative of a gH-Lipschitz continuous interval-valued function (IVF) always exists. For a convex and gH-Lipschitz IVF, the upper gH-Clarke derivative is found to be identical with the gH-directional derivative. It is observed that the upper gH-Clarke derivative is a sublinear IVF. Several numerical examples are provided to support the entire study.

Citovat

RAMÍK, Jaroslav a Debdas GHOSH. Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties. Soft Computing. Amsterodam, Netherlands: Elsevier, 2021, roč. 2021, č. 23, s. 14629-14643. ISSN 1432-7643. Dostupné z: https://dx.doi.org/10.1007/s00500-021-06251-w.

@article{55701,
   author = {Ramík, Jaroslav and Ghosh, Debdas},
   article_location = {Amsterodam, Netherlands},
   article_number = {23},
   doi = {http://dx.doi.org/10.1007/s00500-021-06251-w},
   keywords = {Interval valued functions; Upper gH Clarke derivative; Sublinear IVF; gH Lipschitz function;},
   language = {eng},
   issn = {1432-7643},
   journal = {Soft Computing},
   title = {Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties},
   url = {https://link.springer.com/article/10.1007%2Fs00500-021-06251-w/metrics},
   volume = {2021},
   year = {2021}
}

TY  - JOUR
ID  - 55701
AU  - Ramík, Jaroslav - Ghosh, Debdas
PY  - 2021
TI  - Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties
JF  - Soft Computing
VL  - 2021
IS  - 23
SP  - 14629-14643
EP  - 14629-14643
PB  - Elsevier
SN  - 14327643
KW  - Interval valued functions
KW  - Upper gH Clarke derivative
KW  - Sublinear IVF
KW  - gH Lipschitz function;
UR  - https://link.springer.com/article/10.1007%2Fs00500-021-06251-w/metrics
N2  - This paper is devoted to the study of gH-Clarke derivative for interval-valued functions. To find properties of the gH-Clarke derivative, the concepts of limit superior, limit inferior, and sublinear interval-valued functions are studied in the sequel. It is proved that the upper gH-Clarke derivative of a gH-Lipschitz continuous interval-valued function (IVF) always exists. For a convex and gH-Lipschitz IVF, the upper gH-Clarke derivative is found to be identical with the gH-directional derivative. It is observed that the upper gH-Clarke derivative is a sublinear IVF. Several numerical examples are provided to support the entire study.
ER  -

RAMÍK, Jaroslav a Debdas GHOSH. Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties. \textit{Soft Computing}. Amsterodam, Netherlands: Elsevier, 2021, roč.~2021, č.~23, s.~14629-14643. ISSN~1432-7643. Dostupné z: https://dx.doi.org/10.1007/s00500-021-06251-w.

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