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Generalized Hukuhara Hadamard Derivative of Interval-valued Functions and Its Applications to Interval Optimization
Ram Surat Chauhan, Debdas Ghosh, Qamrul Hasan Ansari
In this article, we study the notion of gH-Hadamard derivative for interval-valued functions (IVFs) and its applications to interval optimization problems (IOPs). It is shown that…
Generalized Hukuhara Weak Subdifferential and its Application on Identifying Optimality Conditions for Nonsmooth Interval-valued Functions
Suprova Ghosh, Debdas Ghosh
In this article, we introduce the idea of -weak subdifferential for interval-valued functions (IVFs) and show how to calculate -weak subgradients. It is observed that a non…
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…
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…
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…
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…