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. |
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@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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