J 2021

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

RAMÍK, Jaroslav and Debdas GHOSH

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

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.