2021
DOI: 10.48550/arxiv.2109.14586
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Generalized-Hukuhara Subdifferential Analysis and Its Application in Nonconvex Composite Optimization Problems with Interval-valued Functions

Abstract: In this article, we study gH-subdifferential calculus of convex interval-valued functions (IVFs) and apply it in a nonconvex composite model of interval optimization problems (IOPs). It is found that the gH-directional derivative of maximum of finitely many comparable IVFs is the maximum of their gH-directional derivative. Proposed concepts of gH-subdifferential are observed to be useful to derive Fritz-John-type and KKT-type efficiency conditions for weak efficient solutions of IOPs. Further, we extract a nec… Show more

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