Makale detayı · 2019 · article
An introduction to non-smooth convex analysis via multiplicative derivative
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- YÖKSİSYÖKSİS makale kaydı
- YÖKSİS dergi adıJOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
- Katalog eşleşmesi (ISSN)Journal of Taibah University for Science
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Özet
In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis. As for directional derivative and subgradient, which are used in the non-smooth optimization theory, basic definitions and preliminary facts related to optimization theory are stated and proved, and the *-subgradient concept is illustrated by providing some examples, such as absolute value and exponential functions. In addition, necessary and sufficient optimality conditions are obtained for convex problems.
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