On Minimax Fractional Semi-Infinite Programming Problems with Applications. (3rd October 2021)

• Record Type: Journal Article
• Authors: Bae, Kwan Deok; Piao, Guang-Ri; Hong, Zhe; Kim, Do Sang
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 13(2021)
• Page Start: 1522
• Page End: 1538
• Publication Date: 2021-10-03
• Subjects: Duality -- limiting subdifferential -- minimax problem -- optimality conditions -- semi-infinite programming; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.2006694
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: Using some advanced tools of variational analysis and generalized differentiation, we establish necessary conditions for locally optimal solutions of minimax fractional programming problems under the limiting constraint qualification (LCQ). Sufficient conditions for such solutions to the considered problem are also provided by introducing generalized convex functions defined in terms of the limiting subdifferential for locally Lipschitz functions. In addition, some duality results for minimax fractional programming problems are also provided. Finally, by using the obtained results, we derive necessary and sufficient conditions for weak Pareto solutions to the multiobjective semi-infinite fractional optimization problem.