EN
The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces
Öz
In this paper, we build the inexact proximal point algorithm of Mann-type and Ishikawa-type iteration based on the variational inequality in Hadamard spaces and prove Delta-convergence to a fixed point of the nonexpansive mapping.
Anahtar Kelimeler
Kaynakça
- [1] Kirk W A, Panyanak B. A concept of convergence in geodesic spaces[J]. Nonlinear Analysis Theory Methods and Applica- tions, 2008, 68(12):3689-3696.
- [2] Khatibzadeh H, Ranjbar S. A variational inequality in complete CAT(0) spaces[J]. Journal of Fixed Point Theory and Applications, 2015, 17(3):557-574.
- [3] Berg I D, Nikolaev I G. Quasilinearization and curvature of Aleksandrov spaces[J]. Geometriae Dedicata, 2008, 133(1):195- 218.
- [4] S. Dhompongsa, B. Panyanak. On ąœ-convergence theorems in CAT(0) spaces[J]. Computers And Mathematics with Ap- plications, 2008, 56(10):2572-2579.
- [5] Ranjbar S, Khatibzadeh H. Delta-CONVERGENCE AND W-CONVERGENCE OF THE MODIFIED MANN ITERATION FOR A FAMILY OF ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS IN COMPLETE CAT(0) SPACES[J]. International Journal on Fixed Point Theory Computation And Applications, 2016, 17(1):151-158.
- [6] Zeng L C. A Note on Approximating Fixed Points of Nonexpansive Mappings by the Ishikawa Iteration Process ąî[J]. Journal of Mathematical Analysis and Applications, 1998, 178(2):245-250.
- [7] Kirk W A, Panyanak B. A concept of convergence in geodesic spaces[J]. Nonlinear Analysis-Theory Methods and Applica- tions, 2008, 68(12):3689-3696
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
31 Ağustos 2018
Gönderilme Tarihi
15 Mayıs 2018
Kabul Tarihi
24 Haziran 2018
Yayımlandığı Sayı
Yıl 2018 Cilt: 1 Sayı: 2
APA
Zhang, Y., & Wu, D. (2018). The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces. Results in Nonlinear Analysis, 1(2), 65-73. https://izlik.org/JA84GN36AD
AMA
1.Zhang Y, Wu D. The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces. RNA. 2018;1(2):65-73. https://izlik.org/JA84GN36AD
Chicago
Zhang, Yue, ve Dingping Wu. 2018. “The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces”. Results in Nonlinear Analysis 1 (2): 65-73. https://izlik.org/JA84GN36AD.
EndNote
Zhang Y, Wu D (01 Ağustos 2018) The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces. Results in Nonlinear Analysis 1 2 65–73.
IEEE
[1]Y. Zhang ve D. Wu, “The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces”, RNA, c. 1, sy 2, ss. 65–73, Ağu. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA84GN36AD
ISNAD
Zhang, Yue - Wu, Dingping. “The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces”. Results in Nonlinear Analysis 1/2 (01 Ağustos 2018): 65-73. https://izlik.org/JA84GN36AD.
JAMA
1.Zhang Y, Wu D. The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces. RNA. 2018;1:65–73.
MLA
Zhang, Yue, ve Dingping Wu. “The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces”. Results in Nonlinear Analysis, c. 1, sy 2, Ağustos 2018, ss. 65-73, https://izlik.org/JA84GN36AD.
Vancouver
1.Yue Zhang, Dingping Wu. The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces. RNA [Internet]. 01 Ağustos 2018;1(2):65-73. Erişim adresi: https://izlik.org/JA84GN36AD