Detailed Information on Publication Record
2021
Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties
RAMÍK, Jaroslav and Debdas GHOSHBasic information
Original name
Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties
Name in Czech
Zobecněná Hukuhara-Clarke derivace intervalové funkce a její vlastnosti
Authors
RAMÍK, Jaroslav (203 Czech Republic, belonging to the institution) and Debdas GHOSH (guarantor)
Edition
Soft Computing, Amsterodam, Netherlands, Elsevier, 2021, 1432-7643
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10201 Computer sciences, information science, bioinformatics
Country of publisher
Switzerland
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
RIV identification code
RIV/47813059:19520/21:A0000257
Organization unit
School of Business Administration in Karvina
UT WoS
000703515700005
Keywords in English
Interval valued functions; Upper gH Clarke derivative; Sublinear IVF; gH Lipschitz function;
Tags
Změněno: 11/4/2022 07:24, Miroslava Snopková
Abstract
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.