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Duality results on mathematical programs with vanishing constraints involving generalized invex functions Cover

Duality results on mathematical programs with vanishing constraints involving generalized invex functions

Open Access
|Nov 2024

Abstract

In the here presented research, we investigate Wolfe and Mond-Weir duality models applied to a specific category of generalized convex functions known as p-invex functions. We establish various dualities between the primal MPVC and its Wolfe type dual, as well as between the primal MPVC (mathematical program with vanishing constraints) and its Mond-Weir type dual under p- invexity assumptions. To illustrate these theorems, we will include some examples.

DOI: https://doi.org/10.2478/candc-2023-0042 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569
Language: English
Page range: 351 - 379
Submitted on: Nov 1, 2022
Accepted on: Jun 1, 2024
Published on: Nov 9, 2024
Published by: Systems Research Institute Polish Academy of Sciences
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2024 Bhuwan Chandra Joshi, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.