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20192026
most citedGeneralized-Hukuhara Subdifferential Analysis and Its Application in Nonconvex Composite Optimization Problems with Interval-valued Functions

3 citations · 6 across the 14 of their papers we have counts for

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math.OC2021

Generalized-Hukuhara Subgradient Method for Optimization Problem with Interval-valued Functions and its Application in Lasso Problem

Debdas Ghosh, Amit Kumar Debnath, Radko Mesiar +1

In this study, a \emph{-subgradient technique} is developed to obtain efficient solutions to the optimization problems with nonsmooth nonlinear convex interval-valued functions…

math.OC2021★ 3 cited

Generalized-Hukuhara Subdifferential Analysis and Its Application in Nonconvex Composite Optimization Problems with Interval-valued Functions

Anshika, Debdas Ghosh, Ram Surat Chauhan +1

In this article, we study -subdifferential calculus of convex interval-valued functions (IVFs) and apply it in a nonconvex composite model of interval optimization problems (IO…

math.OC2021

Weak sharp minima for interval-valued functions and its primal-dual characterizations using generalized Hukuhara subdifferentiability

Krishan Kumar, Debdas Ghosh, Gourav Kumar

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…

math.OC2021★ 2 cited

Ekeland's Variational Principle for Interval-valued Functions

Gourav Kumar, Debdas Ghosh

In this paper, we attempt to propose Ekeland's variational principle for interval-valued functions (IVFs). To develop the variational principle, we study the concept of sequence of…

math.OC2021

Generalized-Hukuhara Subgradient and its Application in Optimization Problem with Interval-valued Functions

Amit Kumar Debnath, Debdas Ghosh, Radko Mesiar +1

In this article, the concepts of gH-subgradients and gH-subdifferentials of interval-valued functions are illustrated. Several important characteristics of the gH-subdifferential o…