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20202022
most citedGeneralized-Hukuhara Subdifferential Analysis and Its Application in Nonconvex Composite Optimization Problems with Interval-valued Functions

3 citations · 4 across the 5 of their papers we have counts for

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5 papers

math.OC2022

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…

math.OC20213 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

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…

math.OC20201 cited

Generalized-Hukuhara-Gradient Efficient-Direction Method to Solve Optimization Problems with Interval-valued Functions and its Application in Least Squares Problems

Debdas Ghosha, Amit Kumar Debnath, Ram Surat Chauhan +1

This article proposes a general gH-gradient efficient-direction method and a W-gH-gradient efficient method for the optimization problems with interval-valued functions. The conver…

math.OC2020

Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties

Ram Surat Chauhan, Debdas Ghosha, Jaroslav Ramik +1

In this article, the notion of gH-Clarke derivative for interval-valued functions is proposed. To define the concept of gH-Clarke derivatives, the concepts of limit superior, limit…