Araştırma Makalesi

Sufficient efficiency conditions associated with a multidimensional multiobjective fractional variational problem

Cilt: 1 Sayı: 1 1 Ağustos 2018
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Sufficient efficiency conditions associated with a multidimensional multiobjective fractional variational problem

Abstract

This paper presents a study on sufficient efficiency conditions for a class of multidimensional vector ratio optimization problems, identified by (MFP), of minimizing a vector of path-independent curvilinear integral functionals quotients subject to PDE and/or PDI constraints involving higher-order partial derivatives. Under generalized (\rho, b)-quasiinvexity assumptions, sufficient conditions of efficiency are formulated for a feasible solution in (MFP).

Keywords

Kaynakça

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  2. \bibitem{bp} A. Barani, M.R. Pouryayevali, \textit{Invex sets and preinvex functions on Riemannian manifolds}, J. Math. Anal. Appl., \textbf{328}, 2, (2007), 767-779.
  3. \bibitem{ta} T. Antczak, \textit{$G$-pre-invex functions in mathematical programming}, J. Comput. Appl. Math., \textbf{217}, 1, (2008), 212-226.
  4. \bibitem{AOR1} M. Arana-Jim\'{e}nez, R. Osuna-G\'{o}mez, G. Ruiz-Garz\'{o}n, M. Rojas-Medar, \textit{On variational problems: Characterization of solutions and duality}, J. Math. Anal. Appl., \textbf{311}, 1, (2005) 1-12.
  5. \bibitem{CP} A. Chinchuluun, P.M. Pardalos, \textit{A survey of recent developments in multiobjective optimization}, Ann. Oper. Res., \textbf{154}, 1, (2007), 29-50.
  6. \bibitem{MAH1} M.A. Hanson, \textit{On sufficiency of Kuhn-Tucker conditions}, J. Math. Anal. Appl., \textbf{80}, 2, (1981), 545-550.
  7. \bibitem{RJ} R. Jagannathan, \textit{Duality for nonlinear fractional programming}, Z. Oper. Res., \textbf{17}, (1973), 1-3.
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Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

1 Ağustos 2018

Gönderilme Tarihi

29 Ocak 2018

Kabul Tarihi

20 Temmuz 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 1 Sayı: 1

Kaynak Göster

APA
Treanta, S. (2018). Sufficient efficiency conditions associated with a multidimensional multiobjective fractional variational problem. Journal of Multidisciplinary Modeling and Optimization, 1(1), 1-13. https://izlik.org/JA77YU87KX
AMA
1.Treanta S. Sufficient efficiency conditions associated with a multidimensional multiobjective fractional variational problem. jmmo. 2018;1(1):1-13. https://izlik.org/JA77YU87KX
Chicago
Treanta, Savin. 2018. “Sufficient efficiency conditions associated with a multidimensional multiobjective fractional variational problem”. Journal of Multidisciplinary Modeling and Optimization 1 (1): 1-13. https://izlik.org/JA77YU87KX.
EndNote
Treanta S (01 Ağustos 2018) Sufficient efficiency conditions associated with a multidimensional multiobjective fractional variational problem. Journal of Multidisciplinary Modeling and Optimization 1 1 1–13.
IEEE
[1]S. Treanta, “Sufficient efficiency conditions associated with a multidimensional multiobjective fractional variational problem”, jmmo, c. 1, sy 1, ss. 1–13, Ağu. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA77YU87KX
ISNAD
Treanta, Savin. “Sufficient efficiency conditions associated with a multidimensional multiobjective fractional variational problem”. Journal of Multidisciplinary Modeling and Optimization 1/1 (01 Ağustos 2018): 1-13. https://izlik.org/JA77YU87KX.
JAMA
1.Treanta S. Sufficient efficiency conditions associated with a multidimensional multiobjective fractional variational problem. jmmo. 2018;1:1–13.
MLA
Treanta, Savin. “Sufficient efficiency conditions associated with a multidimensional multiobjective fractional variational problem”. Journal of Multidisciplinary Modeling and Optimization, c. 1, sy 1, Ağustos 2018, ss. 1-13, https://izlik.org/JA77YU87KX.
Vancouver
1.Savin Treanta. Sufficient efficiency conditions associated with a multidimensional multiobjective fractional variational problem. jmmo [Internet]. 01 Ağustos 2018;1(1):1-13. Erişim adresi: https://izlik.org/JA77YU87KX