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New Concepts of Generalized Convexity in Multiobjective Subset Programming

Year: 2025
Type: article
Abstract: In this paper, a new class of nonconvex differentiable multiobjective programming problems involving n-set functions with both inequality and equality constraints is considered.Then, under V-r-convexity and/or generalized V-r-convexity hypotheses, several sufficient optimality conditions, saddle point criteria and various mixed duality theorems are proved for such not necessarily convex vector optimization problems involving n-set functions.
Language: English
Open Access status: hybrid
OpenAlex ID: W4410549986
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Cites: 23
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Related to: 10