Robust Nonsmooth Interval-Valued Optimization Problems Involving Uncertainty Constraints

Autor:	Izhar Ahmad, Rekha Jaichander, Sluman AL-Homidan, Krishna Kummari
Rok vydání:	2022
Předmět:	Generalized convexity robust nonsmooth interval-valued optimization problem LU-optimal solution optimality duality General Mathematics Mathematics::Optimization and Control Computer Science (miscellaneous) Engineering (miscellaneous)
Zdroj:	Mathematics; Volume 10; Issue 11; Pages: 1787
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:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3fe89489b94489c914b1271432a4d71f https://doi.org/10.3390/math10111787 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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