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Ram Surat Chauhan, Debdas Ghosh, Generalized Hukuhara-pseudoconvex and quasiconvex interval-valued functions and their applications in optimization problems with gH-Clarke derivative

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DOI: 10.23952/jano.8.2026.3.05
Volume 8, Issue 3, 1 December 2026, Pages 395-413

 

Abstract. In this paper, we study the notions of gH-pseudoconvex and quasiconvex interval-valued functions (IVFs) and their applications in optimization problems with gH-Clarke derivative. It is proved that a convex IVF is gH-pseudoconvex and a gH-pseudoconvex IVF is quasiconvex for gH-Fréchet differentiable IVFs. With the help of the gH-pseudoconvex, quasiconvex, and gH-Lipschitz continuous IVFs, we present some results on characterizing efficient solutions of an optimization problem with upper gH-Clarke and gH-Fréchet differentiable IVFs on a star-shaped constraint set. We also present some illustrative examples to support our main results.

 

How to Cite this Article:
R.S. Chauhan, D. Ghosh, Generalized Hukuhara-pseudoconvex and quasiconvex interval-valued functions and their applications in optimization problems with gH-Clarke derivative, J. Appl. Numer. Optim. 8 (2026), 395-413.