Turkish Journal of Mathematics
DOI
10.3906/mat-1705-65
Abstract
In this paper, we are concerned with optimality conditions and duality results for nondifferentiable multiobjective fractional programming problems. Parametric necessary optimality conditions are established for such vector optimization problems in which each component of the involved functions is locally Lipschitz. Further, under the introduced concept of nondifferentiable $(b,\Psi ,\Phi ,\rho )$-univexity, the parametric sufficient optimality conditions are established for a new class of nonconvex multiobjective fractional programming problems. Furthermore, for the considered multiobjective fractional programming problem, its parametric vector dual problem in the sense of Schaible is defined. Then several duality theorems are also established under $(b,\Psi ,\Phi ,\rho )$% -univexity hypotheses.
Keywords
Parametric multiobjective fractional programming, nondifferentiable vector-valued $(b, \Psi, \Phi, \rho )$-univex function, parametric optimality conditions, parametric duality
First Page
2125
Last Page
2147
Recommended Citation
ANTCZAK, TADEUSZ and VERMA, RAM
(2018)
"Parametric nondifferentiable multiobjective fractional programmingunder $(b,\Psi ,\Phi ,\rho )$-univexity,"
Turkish Journal of Mathematics: Vol. 42:
No.
5, Article 5.
https://doi.org/10.3906/mat-1705-65
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss5/5
