2021/09/23 by Krishan Kumar, Debdas Ghosh, Kumar, Krishan +3
Computer Science · Mathematics · #Approximation Theory and Sequence Spaces #FOS: Mathematics #Fuzzy Systems and Optimization #Optimization and Control (math.OC) #Optimization and Variational Analysis
paper · pdf · doi:10.48550/arxiv.2109.11516
openalex publication_date 2021/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This article introduces the concept of weak sharp minima (WSM) for convex interval-valued functions (IVFs). To identify a set of WSM of a convex IVF, we provide its primal and dual characterizations. The primal characterization is given in terms of gH-directional derivatives. On the other hand, to derive dual characterizations, we propose the notions of the support function of a subset of I(ℝ)n and gH-subdifferentiability for convex IVFs. Further, we develop the required gH-subdifferential calculus for convex IVFs. Thereafter, by using the proposed gH-subdifferential calculus, we provide dual characterizations for the set of WSM of convex IVFs.