Parametric nondifferentiable multiobjective fractional programming under (b, Ψ, Φ, ρ)-univexity

Tadeusz ANTCZAK; Ram VERMA

Makale detayları

Parametric nondifferentiable multiobjective fractional programming under (b, Ψ, Φ, ρ)-univexity

Yazarlar:

Tadeusz ANTCZAK | Ram VERMA

Yayıncı:

TUBITAK

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2125-2147

Belge Tipi:

Makale

Yayın Tarihi:

9/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000745750

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

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,Ψ,Φ,ρ)(b,Ψ,Φ,ρ)(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,Ψ,Φ,ρ)(b,Ψ,Φ,ρ)(b,\Psi ,\Phi ,\rho )%  -univexity hypotheses.

Makale detayları

Parametric nondifferentiable multiobjective fractional programming under (b, Ψ, Φ, ρ)-univexity

Yazarlar: Tadeusz ANTCZAK | Ram VERMA

Yayıncı: TUBITAK

Ana Başlıklar: Matematik

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2125-2147

Belge Tipi: Makale

Yayın Tarihi: 9/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000745750

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Tadeusz ANTCZAK | Ram VERMA

Yayıncı:

TUBITAK

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2125-2147

Belge Tipi:

Makale

Yayın Tarihi:

9/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000745750

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098