Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12573/395

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Institution Author: search.filters.institutionAuthor.Tor, Ali HakanPublisher: search.filters.publisher.Taylor & Francis Ltd

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  • Article
    Citation - WoS: 2
    Citation - Scopus: 2
    An Introduction to Non-Smooth Convex Analysis via Multiplicative Derivative
    (Taylor & Francis Ltd, 2019-02-12) Tor, Ali Hakan
    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.