Mangasarian-type Higher-order Duality in Multi-objective Programming with Complementarity Constraints

European Journal of Pure and Applied Mathematics 2026 Open access

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Authors: Izhar Ahmad, Krishna Kummari, Rekha R. Jaichander
DOI: 10.29020/nybg.ejpam.v19i1.6313
Cited by: 1

Abstract

This article establishes Mangasarian-type second and higher-order dual formulations for a multi-objective mathematical program with complementarity constraints (MMPCC) by utilizing μ-stationary conditions. Subsequently, we present several duality theorems for the second and higher-order duals of (MMPCC) under υ-bonvexity assumptions. These results are further illustrated with appropriate examples.

Fields of Study & Subjects

Optimization and Variational Analysis Advanced Optimization Algorithms Research Risk and Portfolio Optimization

Publication details

Journal / source
European Journal of Pure and Applied Mathematics
Publisher
New York Business Global LLC
Volume
19
Issue
1
Pages
6313–6313
Publication date
16 February 2026