RAMÍK, Jaroslav and Debdas GHOSH. Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties. Soft Computing. Amsterodam, Netherlands: Elsevier, vol. 2021, No 23, p. 14629-14643. ISSN 1432-7643. doi:10.1007/s00500-021-06251-w. 2021.
Other formats:   BibTeX LaTeX RIS
Basic 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
Original language English
Type of outcome Article in a journal
Field of Study 10201 Computer sciences, information science, bioinformatics
Country of publisher Switzerland
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19520/21:A0000257
Organization unit School of Business Administration in Karvina
Doi http://dx.doi.org/10.1007/s00500-021-06251-w
UT WoS 000703515700005
Keywords in English Interval valued functions; Upper gH Clarke derivative; Sublinear IVF; gH Lipschitz function;
Tags impakt
Changed by Changed by: Miroslava Snopková, učo 43819. Changed: 11/4/2022 07:24.
Abstract
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.
PrintDisplayed: 28/3/2024 11:54