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

Authors

  • Izhar Ahmad King Fahd University of Petroleum and Minerals, Saudi Arabia
  • Krishna Kummari Department of Mathematics, School of Science, GITAM-Hyderabad Campus, Hyderabad-502329, India
  • Rekha R. Jaichander Department of Mathematics, St. Francis College for Women-Begumpet, Hyderabad-500016, India

DOI:

https://doi.org/10.29020/nybg.ejpam.v19i1.6313

Keywords:

Multi-objective programming, mathematical programs with complementary constraints; generalized convexity; second-order and higher-order type I duality.

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.

Author Biography

  • Izhar Ahmad, King Fahd University of Petroleum and Minerals, Saudi Arabia
    Assistant Professor

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Published

2026-02-16

Issue

Vol. 19 No. 1: (January 2026)

Section

Optimization

License

Copyright (c) 2026 Izhar Ahmad, Krishna Kummari, Rekha R. Jaichander

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How to Cite

Mangasarian-type Higher-order Duality in Multi-objective Programming with Complementarity Constraints. (2026). European Journal of Pure and Applied Mathematics, 19(1), 6313. https://doi.org/10.29020/nybg.ejpam.v19i1.6313