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

Autor: Mohamed Abd El-Hady Kassem, Laxmi Rathour
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Scientific African, Vol 23, Iss , Pp e02067- (2024)
Druh dokumentu: article
ISSN: 2468-2276
DOI: 10.1016/j.sciaf.2024.e02067
Popis: 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.
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