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arXiv:2212.04541 [math.OC]AbstractReferencesReviewsResources

A technical note on "The KKT Optimality Conditions For Optimization Problem With Interval-Valued Objective Function On Hadamard Manifolds"

Hilal Ahmad Bhat, Akhlad Iqbal

Published 2022-12-08Version 1

In this technical note, we disprove S.-L. Chen's \cite{chen} assertion that the generalized Hukuhara directional differentiability of an interval-valued function defined on a Hadamard manifold is fully identical to the directional differentiability of its endpoint functions by providing a counterexample. Moreover, we address imprecisions in several results proved by using the aforementioned assertion in \cite{chen}. We provide correct statements of the imprecise results and construct examples in their support.

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