Robust Nonsmooth Interval-Valued Optimization Problems Involving Uncertainty Constraints

Autor:	Rekha R. Jaichander, Izhar Ahmad, Krishna Kummari, Suliman Al-Homidan
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Generalized convexity robust nonsmooth interval-valued optimization problem LU-optimal solution optimality duality Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 11, p 1787 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10111787
Popis:	In this paper, Karush-Kuhn-Tucker type robust necessary optimality conditions for a robust nonsmooth interval-valued optimization problem (UCIVOP) are formulated using the concept of LU-optimal solution and the generalized robust Slater constraint qualification (GRSCQ). These Karush-Kuhn-Tucker type robust necessary conditions are shown to be sufficient optimality conditions under generalized convexity. The Wolfe and Mond-Weir type robust dual problems are formulated over cones using generalized convexity assumptions, and usual duality results are established. The presented results are illustrated by non-trivial examples.
Databáze:	Directory of Open Access Journals
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