Araştırma Makalesi

Existence theorems for second-order radial epiderivatives

Cilt: 5 Sayı: 2 30 Mart 2017
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Existence theorems for second-order radial epiderivatives

Abstract

In this paper, we introduce the concepts of second-order radial epiderivative and second-order generalized radial epiderivative for nonconvex set-valued maps. We also investigate some of their properties. We give existence theorems for the second-order generalized radial epiderivatives.

Keywords

Kaynakça

  1. Aubin, J.P.,1981, Contingent Derivatives of Set-Valued Maps and Existence of Solutions to Nonlinear Inclusions and Differential Inclusions. In: Nachbin, L (ed.) Mathematics Analysis and Applications, part A, 160-229, Academic Press, New York.
  2. Aubin, J.P., Frankowska, H., 1990, Set Valued Analysis,Birkhauser, Boston.
  3. Aghezzaf, B. and Hachimi, M., 1999, Second Order Optimality Conditions in Multiobjective Optimization Problems,J. Optim. Theory Apply., 102,1,37-50.
  4. Anh, N.L.H., and Khanh, P.Q., 2013, Higher-Order Optimality Conditions in Set-Valued optimization Using Radial Sets and Radial Derivatives. J. Glob Optim.,56,2,519-536.
  5. Anh, N.L.H. and Khanh, P.Q., 2014, Higher-Order optimality Conditions for Proper Efficiency in Nonsmooth Vector Optimization Using Radial Sets and Radial Derivatives,J. Glob Optim., 58,4, 693-709.
  6. Anh, N.L.H. Khanh, P.Q. and Tung, L.T., 2011, Higher-Order Radial Derivatives and Optimality Conditions in Nonsmooth Vector Optimization, Nonlinear Anal.Theory Meth.Appl.,74,7365-7379.
  7. Bazan, F.F., 2001, Optimality Conditions in Nonconvex Set-Valued Optimization, Mathematical Methods of Operations Research,53, 403-417.
  8. Bazan, F.F., 2003, Radial Epiderivatives and Asymptotic Functions in Nonconvex Vector Optimization, SIAM J. Optimization, 14,284-305.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

30 Mart 2017

Gönderilme Tarihi

24 Şubat 2017

Kabul Tarihi

24 Nisan 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 2

Kaynak Göster

APA
Inceoglu, G. (2017). Existence theorems for second-order radial epiderivatives. New Trends in Mathematical Sciences, 5(2), 148-156. https://izlik.org/JA47CJ64KZ
AMA
1.Inceoglu G. Existence theorems for second-order radial epiderivatives. New Trends in Mathematical Sciences. 2017;5(2):148-156. https://izlik.org/JA47CJ64KZ
Chicago
Inceoglu, Gonca. 2017. “Existence theorems for second-order radial epiderivatives”. New Trends in Mathematical Sciences 5 (2): 148-56. https://izlik.org/JA47CJ64KZ.
EndNote
Inceoglu G (01 Mart 2017) Existence theorems for second-order radial epiderivatives. New Trends in Mathematical Sciences 5 2 148–156.
IEEE
[1]G. Inceoglu, “Existence theorems for second-order radial epiderivatives”, New Trends in Mathematical Sciences, c. 5, sy 2, ss. 148–156, Mar. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA47CJ64KZ
ISNAD
Inceoglu, Gonca. “Existence theorems for second-order radial epiderivatives”. New Trends in Mathematical Sciences 5/2 (01 Mart 2017): 148-156. https://izlik.org/JA47CJ64KZ.
JAMA
1.Inceoglu G. Existence theorems for second-order radial epiderivatives. New Trends in Mathematical Sciences. 2017;5:148–156.
MLA
Inceoglu, Gonca. “Existence theorems for second-order radial epiderivatives”. New Trends in Mathematical Sciences, c. 5, sy 2, Mart 2017, ss. 148-56, https://izlik.org/JA47CJ64KZ.
Vancouver
1.Gonca Inceoglu. Existence theorems for second-order radial epiderivatives. New Trends in Mathematical Sciences [Internet]. 01 Mart 2017;5(2):148-56. Erişim adresi: https://izlik.org/JA47CJ64KZ