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IJMSI 2025, 20(1): 205-229 |
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Antczak T, Ahmad I. New Concepts of Generalized Convexity in Multiobjective Subset Programming. IJMSI 2025; 20 (1) :205-229
URL: http://ijmsi.ir/article-1-1919-en.html
URL: http://ijmsi.ir/article-1-1919-en.html
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 suffcient optimality conditions, saddle point criteria and various mixed duality theorems are proved for such not necessarily convex vector optimization problems involving n-set functions.
Keywords: Vector optimization problem with n-set functions, Optimality conditions, Saddle point criteria, Mixed duality, V -r-convex n-set function.
Type of Study: Research paper |
Subject:
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References
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