Generalizations of Higher-Order Duality for Multiple Objective Nonlinear Programming under the Generalizations of Type-I Functions

Autor:	Huda M Alshanbari, Mohamed Abd El-Hady Kassem
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	pseudo-convexity functions higher-order duality General Mathematics (F ρ σ)-type-I functions multiple objective programming Computer Science (miscellaneous) nonlinear programming Engineering (miscellaneous)
Zdroj:	Mathematics Volume 11 Issue 4 Pages: 889
ISSN:	2227-7390
DOI:	10.3390/math11040889
Popis:	In this study, we introduce new generalizations of higher-order type-I functions and higher-order pseudo-convexity type-I functions. The application of the notion of sublinear functionals to these generalizations of higher-order type-I and higher-order pseudo-convexity type-I functions is crucial to our main findings. Furthermore, under these generalizations of the higher-order type-I and higher-order pseudo-convexity type-I functions, we established and studied six new types of higher-order duality models and programs for multiple objective nonlinear programming problems. In addition, we use these generalizations of higher-order type-I functions and higher-order pseudo-convexity type-I functions, to formulate and prove the theorems of weak duality, strong duality, and strict converse duality for these new six types of higher-order model programs.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25e0274309cec2d8d0e5281974d07f4d Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.