Robust Necessary Optimality Conditions for Nondifferentiable Complex Fractional Programming with Uncertain Data. Chen, J., Al-Homidan, S., Ansari, Q. H., Li, J., & Lv, Y. Journal of Optimization Theory and Applications, 189(1):221–243, April, 2021. 4 citations (Semantic Scholar/DOI) [2022-09-21]![Robust Necessary Optimality Conditions for Nondifferentiable Complex Fractional Programming with Uncertain Data [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex 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.
@article{chen_robust_2021,
title = {Robust {Necessary} {Optimality} {Conditions} for {Nondifferentiable} {Complex} {Fractional} {Programming} with {Uncertain} {Data}},
volume = {189},
issn = {0022-3239, 1573-2878},
url = {http://link.springer.com/10.1007/s10957-021-01829-8},
doi = {10.1007/s10957-021-01829-8},
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.},
language = {en},
number = {1},
urldate = {2022-09-18},
journal = {Journal of Optimization Theory and Applications},
author = {Chen, Jiawei and Al-Homidan, Suliman and Ansari, Qamrul Hasan and Li, Jun and Lv, Yibing},
month = apr,
year = {2021},
note = {4 citations (Semantic Scholar/DOI) [2022-09-21]},
keywords = {/unread},
pages = {221--243},
}
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