Araştırma Makalesi

General iterative algorithm for solving system of variational inequality problems in real Banach spaces

Cilt: 3 Sayı: 1 31 Mart 2020
PDF İndir
EN

General iterative algorithm for solving system of variational inequality problems in real Banach spaces

Öz

In this paper, we introduce general approximation method for solving  system of variational inequality problems in Banach spaces. The strong convergence of this general iterative  method is proved under certain assumptions imposed on the sequence of parameters. Application to quadratic optimization problem is also considered. The results presented in the paper extend and improve some recent results announced in the current literature.

Anahtar Kelimeler

Kaynakça

  1. Alber, Ya., Metric and generalized Projection Operators in Banach space:propertiesand applications in Theory and Applications of Nonlinear Operators of Accretive andMonotone Type,(A. G Kartsatos, Ed.), Marcel Dekker, New York (1996), pp. 15-50.
  2. Aoyama, K., Iiduka, H., Takahashi, W., Weak convergence of an iterative sequencefor accretive operators in Banach spaces, Fixed Point Theory Appl. 2006 (2006)doi:10.1155/FPTA/2006/35390. Article ID 35390, 13 pages. Noor, M.A., Some development in general variational inequalities, Appl. Math. Com-put. 152 (2004) 199-277.
  3. Browder, F. E., Convergenge theorem for sequence of nonlinear operator in Banachspaces, Z., 100 (1967) 201-225.
  4. Ceng, L. C., Yao, J. C., An extragradient-like approximation method for variationalinequality problems and fixed point problems, Appl. Math. Comput., 190 (2007),205-215.
  5. Censor, Y., Iusem, A.N., Zenios, S.A., An interior point method with Bregman func-tions for the variational inequality problem with paramonotone operators, Math.Program. 81 (1998) 373-400.
  6. Cioranescu, I., Geometry of Banach space, duality mapping and nonlinear problems,Kluwer, Dordrecht, (1990).
  7. Chang, S., Kim, J. K., Wang, X. R., Modified block iterative algorithm for solvingconvex feasibility problems in Banach spaces, Journal of Inequalities and Applications,vol. (2010), Article ID 869684, 14 pages.
  8. Chidume, C. E., Geometric Properties of Banach spaces and Nonlinear Iterations,Springer Verlag Series: Lecture Notes in Mathematics, Vol. 1965,(2009), ISBN 978-1-84882-189.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Cheikh Diop Bu kişi benim
Senegal

Mouhamadou Moustapha Gueye Bu kişi benim
Senegal

Yayımlanma Tarihi

31 Mart 2020

Gönderilme Tarihi

8 Kasım 2019

Kabul Tarihi

3 Aralık 2019

Yayımlandığı Sayı

Yıl 2020 Cilt: 3 Sayı: 1

Kaynak Göster

APA
Sow, T., Diop, C., & Gueye, M. M. (2020). General iterative algorithm for solving system of variational inequality problems in real Banach spaces. Results in Nonlinear Analysis, 3(1), 1-11. https://izlik.org/JA79DU97GM
AMA
1.Sow T, Diop C, Gueye MM. General iterative algorithm for solving system of variational inequality problems in real Banach spaces. RNA. 2020;3(1):1-11. https://izlik.org/JA79DU97GM
Chicago
Sow, Thierno, Cheikh Diop, ve Mouhamadou Moustapha Gueye. 2020. “General iterative algorithm for solving system of variational inequality problems in real Banach spaces”. Results in Nonlinear Analysis 3 (1): 1-11. https://izlik.org/JA79DU97GM.
EndNote
Sow T, Diop C, Gueye MM (01 Mart 2020) General iterative algorithm for solving system of variational inequality problems in real Banach spaces. Results in Nonlinear Analysis 3 1 1–11.
IEEE
[1]T. Sow, C. Diop, ve M. M. Gueye, “General iterative algorithm for solving system of variational inequality problems in real Banach spaces”, RNA, c. 3, sy 1, ss. 1–11, Mar. 2020, [çevrimiçi]. Erişim adresi: https://izlik.org/JA79DU97GM
ISNAD
Sow, Thierno - Diop, Cheikh - Gueye, Mouhamadou Moustapha. “General iterative algorithm for solving system of variational inequality problems in real Banach spaces”. Results in Nonlinear Analysis 3/1 (01 Mart 2020): 1-11. https://izlik.org/JA79DU97GM.
JAMA
1.Sow T, Diop C, Gueye MM. General iterative algorithm for solving system of variational inequality problems in real Banach spaces. RNA. 2020;3:1–11.
MLA
Sow, Thierno, vd. “General iterative algorithm for solving system of variational inequality problems in real Banach spaces”. Results in Nonlinear Analysis, c. 3, sy 1, Mart 2020, ss. 1-11, https://izlik.org/JA79DU97GM.
Vancouver
1.Thierno Sow, Cheikh Diop, Mouhamadou Moustapha Gueye. General iterative algorithm for solving system of variational inequality problems in real Banach spaces. RNA [Internet]. 01 Mart 2020;3(1):1-11. Erişim adresi: https://izlik.org/JA79DU97GM