Araştırma Makalesi

Shrinking projection method for proximal split feasibility and fixed point problems

Cilt: 2 Sayı: 2 30 Ağustos 2019
  • Jinzuo Chen *
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Shrinking projection method for proximal split feasibility and fixed point problems

Abstract

In this paper, we consider and study proximal split feasibility and fixed point problem. For solving the problems, we introduce an iterative algorithm with shrinking projection technique. It is proven that the sequence generated by the proposed iterative algorithm converges strongly to the common solution of the proximal split feasibility and fixed point problems.

Keywords

Kaynakça

  1. [1] Censor, Y, Elfving, T: A multiprojection algorithm using Bregman projections in a product space. Numer. Algorithm 8,221-239(1994)
  2. [2] Byrne, C: A unified treatment of some iterative algorithm in signal processing and image reconstruction. Inverse Probl. 20,103-120(2004)
  3. [3] Censor, Y, Motova, A, Segal, A: Perturbed projections and subgradient projections for the multiple-sets split feasibilityproblem. J. Math. Anal. Appl. 327, 1244-1256(2007)
  4. [4] Byrne, C: Iterative oblique projection onto convex subsets and the split feasibility problem, Inverse Probl. 18, 441-453(2002)
  5. [5] Yao, Y., Liou, Y., Yao, J: Iterative algorithms for the split variational inequality and fixed point problems under nonlineartransformations. J. Nonlinear Sci. Appl., 10, 843–854(2017).
  6. [6] Yao, Y., Leng, L., Postolache, M., Zheng, X: Mann-type iteration method for solving the split common fixed point problem.J. Nonlinear Convex Anal., 18, 875–882(2017).
  7. [7] Censor, Y. Zaknoon, M: Algorithms and convergence results of projection methods for inconsistent feasibility problems: Areview. Pure and Applied Functional Analysis, 3, 565-586(2018).
  8. [8] Ceng, LC, Ansari, QH, Yao, JC: Relaxed extragradient methods for finding minimum-norm solutions of the split feasibilityproblem. Nonlinear. Anal. 75, 2116-2125(2012)

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Jinzuo Chen * Bu kişi benim
China

Yayımlanma Tarihi

30 Ağustos 2019

Gönderilme Tarihi

17 Temmuz 2019

Kabul Tarihi

12 Ağustos 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 2 Sayı: 2

Kaynak Göster

APA
Chen, J. (2019). Shrinking projection method for proximal split feasibility and fixed point problems. Results in Nonlinear Analysis, 2(2), 92-101. https://izlik.org/JA78NS59PL
AMA
1.Chen J. Shrinking projection method for proximal split feasibility and fixed point problems. RNA. 2019;2(2):92-101. https://izlik.org/JA78NS59PL
Chicago
Chen, Jinzuo. 2019. “Shrinking projection method for proximal split feasibility and fixed point problems”. Results in Nonlinear Analysis 2 (2): 92-101. https://izlik.org/JA78NS59PL.
EndNote
Chen J (01 Ağustos 2019) Shrinking projection method for proximal split feasibility and fixed point problems. Results in Nonlinear Analysis 2 2 92–101.
IEEE
[1]J. Chen, “Shrinking projection method for proximal split feasibility and fixed point problems”, RNA, c. 2, sy 2, ss. 92–101, Ağu. 2019, [çevrimiçi]. Erişim adresi: https://izlik.org/JA78NS59PL
ISNAD
Chen, Jinzuo. “Shrinking projection method for proximal split feasibility and fixed point problems”. Results in Nonlinear Analysis 2/2 (01 Ağustos 2019): 92-101. https://izlik.org/JA78NS59PL.
JAMA
1.Chen J. Shrinking projection method for proximal split feasibility and fixed point problems. RNA. 2019;2:92–101.
MLA
Chen, Jinzuo. “Shrinking projection method for proximal split feasibility and fixed point problems”. Results in Nonlinear Analysis, c. 2, sy 2, Ağustos 2019, ss. 92-101, https://izlik.org/JA78NS59PL.
Vancouver
1.Jinzuo Chen. Shrinking projection method for proximal split feasibility and fixed point problems. RNA [Internet]. 01 Ağustos 2019;2(2):92-101. Erişim adresi: https://izlik.org/JA78NS59PL