First- and second-order optimality conditions for multiobjective fractional programming

P. Q. Khanh ^[1] ; L. T. Tung ^[2]
1. [1] Vietnam National University Hochiminh City, Vietnam
2. [2] Cantho University, Vietnam
Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 23, Nº. 2, 2015, págs. 419-440
Idioma: inglés
DOI: 10.1007/s11750-014-0347-7
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Resumen
- We consider nonsmooth multiobjective fractional programming on normed spaces. Using first- and second-order approximations as generalized derivatives, first- and second-order optimality conditions are established. Unlike the existing results, we avoid completely convexity assumptions. Our results can be applied even in infinite-dimensional cases, involving non-Lipschitz maps.