Optimality conditions and duality for E-differentiable multiobjective programming involving V-E-type I functions

Najeeb Abdulaleem () and Savin Treanţă ()
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Najeeb Abdulaleem: University of Łódź
Savin Treanţă: University Politehnica of Bucharest

OPSEARCH, 2023, vol. 60, issue 4, No 10, 1824-1843

Abstract: Abstract In this paper, we introduce a new concept of sets and a new class of functions called $$\alpha$$ α -E-invex sets and V-E-preinvex functions. Furthermore, a new concept of generalized convexity is introduced for (not necessarily) differentiable vector optimization problems. Namely, the concept of V-E-type I functions is defined for E-differentiable vector optimization problem. A number of sufficiency results are established under various types of (generalized) V-E-type I requirements. Moreover, several E-duality theorems in the sense of Mond–Weir are proved under appropriate (generalized) V-E-type I functions.

Keywords: $$\alpha$$ α -E-invex set; V-E-type I functions; Generalized convexity; E-differentiable function; E-optimality conditions; E-Mond-Weir duality.; 90C26; 90C30; 26B25 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s12597-023-00674-9

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