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

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

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...

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Bibliographic Details
Main Authors: Mohamed Abd El-Hady Kassem, Huda M. Alshanbari
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Mathematics
Subjects:
multiple objective programming
nonlinear programming
higher-order duality
(<i>F</i>,<i>ρ</i>,<i>σ</i>)-type-I functions
pseudo-convexity functions
Online Access:https://www.mdpi.com/2227-7390/11/4/889

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