Duality under novel generalizations of the D-type-I functions for multiple objective nonlinear programming problems

In this paper, we provide novel generalizations of the D-type-I functions by relaxing the D-Preinvexity functions using the mean-valued theorem. Under these new generalizations of the D-Preinvexity type-I functions, we also study the optimality solutions for multiple objective nonlinear programming...

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Bibliographic Details
Published inScientific African Vol. 23; p. e02067
Main Authors Kassem, Mohamed Abd El-Hady, Rathour, Laxmi
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2024
Elsevier
Subjects
Duality theorems
Multiple objective programming
Nonlinear programming
Preinvexity functions
Type-I functions
Duality theorems
Nonlinear programming
Type-I functions
Multiple objective programming
Preinvexity functions
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Summary:In this paper, we provide novel generalizations of the D-type-I functions by relaxing the D-Preinvexity functions using the mean-valued theorem. Under these new generalizations of the D-Preinvexity type-I functions, we also study the optimality solutions for multiple objective nonlinear programming problems. We also establish and illustrate the duality theorems (weak, strong, and converse) for the Wolf-type and Mond-Weir-type for multiple objective nonlinear programming problems using these new generalizations of the D-Preinvexity type-I functions.
ISSN:2468-2276
2468-2276
DOI:10.1016/j.sciaf.2024.e02067