Robust Necessary Optimality Conditions for Nondifferentiable Complex Fractional Programming with Uncertain Data

Jiawei Chen (), Suliman Al-Homidan (), Qamrul Hasan Ansari (), Jun Li () and Yibing Lv ()
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Jiawei Chen: Southwest University
Suliman Al-Homidan: King Fahd University of Petroleum and Minerals
Qamrul Hasan Ansari: King Fahd University of Petroleum and Minerals
Jun Li: Southwest University
Yibing Lv: Yangtze University

Journal of Optimization Theory and Applications, 2021, vol. 189, issue 1, No 10, 243 pages

Abstract: Abstract In this paper, we study robust necessary optimality conditions for a nondifferentiable complex fractional programming with uncertain data. A robust counterpart of uncertain complex fractional programming is introduced in the worst-case scenario. The concept of robust optimal solution of the uncertain complex fractional programming is introduced by using robust counterpart. We give an equivalence between the optimal solutions of the robust counterpart and a minimax nonfractional parametric programming. Finally, Fritz John-type and Karush–Kuhn–Tucker-type robust necessary optimality conditions of the uncertain complex fractional programming are established under some suitable conditions.

Keywords: Robust necessary optimality conditions; Uncertain complex fractional programming; Robust counterpart; Robust constraint qualification; 49J53; 65K10; 90C29 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-021-01829-8

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