| Issue |
RAIRO-Oper. Res.
Volume 58, Number 5, September-October 2024
|
|
|---|---|---|
| Page(s) | 4221 - 4234 | |
| DOI | https://doi.org/10.1051/ro/2024166 | |
| Published online | 14 October 2024 | |
(G, V)-invexity nondifferentiable generalized minimax fractional programming
Yan’an University, Yan’an, P.R. China
* Corresponding author: yadxlxy@163.com; yuanj_1998@163.com
Received:
9
August
2023
Accepted:
11
August
2024
In this paper, we study the nondifferentiable generalized minimax fractional programming problem under (G, V )-invexity. G-sufficient optimality conditions for the considered nondifferentiable generalized minimax fractional programming problem are established under the concept of (G, V )-invexity. Further, two types of dual models are formulated and G-duality theorems relating to the primal minimax fractional programming problem and dual problems are established. These results extend several known results to a wider class of programs.
Mathematics Subject Classification: 26A51 / 90C32 / 49N15
Key words: Nondifferential minimax fractional programming / G-duality / G-optimality / (G, V)-invexity
© The authors. Published by EDP Sciences, ROADEF, SMAI 2024
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