Araştırma Makalesi

Iterative Algorithm for extended mixed equilibrium problem

Cilt: 4 Sayı: 4 31 Aralık 2016
  • Rais Ahmad *
  • Haider Abbas Rizvi
  • Adem Kilicman
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Iterative Algorithm for extended mixed equilibrium problem

Öz

In this paper, we introduce and study an extended mixed equilibrium problem by using auxiliary principle technique. A generalized predictor-corrector iterative algorithm is defined for solving extended mixed equilibrium problem. The convergence of the method mentioned requires some condition (∗), g-relatively relaxed Lipschitz continuity and relatively g-relaxed monotonicity of the mappings.

Anahtar Kelimeler

Kaynakça

  1. A. Moudafi, Mixed equilibrium problems: Sensitivity analysis and algorithmic aspect, Computers and Mathematics with applications (2002), Vol. 44,1099-1108.
  2. E. Blum, W. Oettli, From optimization and variational inequalities to equilibrium problems, Math. student, 63(1994),pp. 123-145.
  3. F. Giannessi and A. Maugeri, Variational inequalities and Network equilibrium problems, Plenum Press, New york, 1995.
  4. F. Giannessi (Ed.), Vector variational inequalities and Vector Equilibria, Math. Theories Nonconvex Optim. Appl., vol.38, Kluwer Academic Publishers, Dordrecht (2000).
  5. X.P. Ding, Quasi-equilibrium problems in noncompact generalized convex spaces, Applied Mathematics and Mechanics, June 2000, Volume 21, Issue 6, pp 637-644.
  6. X.P. Ding Quasi-equilibrium problems with applications to finite optimization and constrained games in general topologies spaces, Appl. Math. Lett., 13(2000), pp.21-26.
  7. M.A. Noor, Oettli W. On general nonlinear complementarity problems and quasi-equilibria Mathematiche(Catania), 49(1964), pp.313-331.
  8. M.A. Noor, Multivalued general equilibrium problems, Journal of Mathematical Analysis and Applications, Vol. 283, issue 1, 1 july 2003, pages 140-149.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Rais Ahmad * Bu kişi benim
India

Haider Abbas Rizvi Bu kişi benim
India

Adem Kilicman Bu kişi benim
Malaysia

Yayımlanma Tarihi

31 Aralık 2016

Gönderilme Tarihi

10 Şubat 2016

Kabul Tarihi

9 Mart 2016

Yayımlandığı Sayı

Yıl 2016 Cilt: 4 Sayı: 4

Kaynak Göster

APA
Ahmad, R., Rizvi, H. A., & Kilicman, A. (2016). Iterative Algorithm for extended mixed equilibrium problem. New Trends in Mathematical Sciences, 4(4), 33-41. https://izlik.org/JA55ZY34MB
AMA
1.Ahmad R, Rizvi HA, Kilicman A. Iterative Algorithm for extended mixed equilibrium problem. New Trends in Mathematical Sciences. 2016;4(4):33-41. https://izlik.org/JA55ZY34MB
Chicago
Ahmad, Rais, Haider Abbas Rizvi, ve Adem Kilicman. 2016. “Iterative Algorithm for extended mixed equilibrium problem”. New Trends in Mathematical Sciences 4 (4): 33-41. https://izlik.org/JA55ZY34MB.
EndNote
Ahmad R, Rizvi HA, Kilicman A (01 Aralık 2016) Iterative Algorithm for extended mixed equilibrium problem. New Trends in Mathematical Sciences 4 4 33–41.
IEEE
[1]R. Ahmad, H. A. Rizvi, ve A. Kilicman, “Iterative Algorithm for extended mixed equilibrium problem”, New Trends in Mathematical Sciences, c. 4, sy 4, ss. 33–41, Ara. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA55ZY34MB
ISNAD
Ahmad, Rais - Rizvi, Haider Abbas - Kilicman, Adem. “Iterative Algorithm for extended mixed equilibrium problem”. New Trends in Mathematical Sciences 4/4 (01 Aralık 2016): 33-41. https://izlik.org/JA55ZY34MB.
JAMA
1.Ahmad R, Rizvi HA, Kilicman A. Iterative Algorithm for extended mixed equilibrium problem. New Trends in Mathematical Sciences. 2016;4:33–41.
MLA
Ahmad, Rais, vd. “Iterative Algorithm for extended mixed equilibrium problem”. New Trends in Mathematical Sciences, c. 4, sy 4, Aralık 2016, ss. 33-41, https://izlik.org/JA55ZY34MB.
Vancouver
1.Rais Ahmad, Haider Abbas Rizvi, Adem Kilicman. Iterative Algorithm for extended mixed equilibrium problem. New Trends in Mathematical Sciences [Internet]. 01 Aralık 2016;4(4):33-41. Erişim adresi: https://izlik.org/JA55ZY34MB