Abstract
In this paper, we propose an iterative scheme for finding a common point of the fixed point set of a Bregman relatively nonexpansive mapping and the solution set of a variational inequality problem for a continuous monotone mapping. We prove a strong convergence theorem for the sequences produced by the method. Our results improve and generalize various recent results.
| Original language | English |
|---|---|
| Pages (from-to) | 2541-2552 |
| Number of pages | 12 |
| Journal | Journal of Nonlinear Science and Applications |
| Volume | 9 |
| Issue number | 5 |
| Publication status | Published - Jan 1 2016 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Algebra and Number Theory
Cite this
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Fixed points of bregman relatively nonexpansive mappings and solutions of variational inequality problems. / Alghamdi, Mohammed Ali; Shahzad, Naseer; Zegeye, Habtu.
In: Journal of Nonlinear Science and Applications, Vol. 9, No. 5, 01.01.2016, p. 2541-2552.Research output: Contribution to journal › Article
TY - JOUR
T1 - Fixed points of bregman relatively nonexpansive mappings and solutions of variational inequality problems
AU - Alghamdi, Mohammed Ali
AU - Shahzad, Naseer
AU - Zegeye, Habtu
PY - 2016/1/1
Y1 - 2016/1/1
N2 - In this paper, we propose an iterative scheme for finding a common point of the fixed point set of a Bregman relatively nonexpansive mapping and the solution set of a variational inequality problem for a continuous monotone mapping. We prove a strong convergence theorem for the sequences produced by the method. Our results improve and generalize various recent results.
AB - In this paper, we propose an iterative scheme for finding a common point of the fixed point set of a Bregman relatively nonexpansive mapping and the solution set of a variational inequality problem for a continuous monotone mapping. We prove a strong convergence theorem for the sequences produced by the method. Our results improve and generalize various recent results.
UR - http://www.scopus.com/inward/record.url?scp=84969591047&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84969591047&partnerID=8YFLogxK
M3 - Article
VL - 9
SP - 2541
EP - 2552
JO - Journal of Nonlinear Science and Applications
JF - Journal of Nonlinear Science and Applications
SN - 2008-1898
IS - 5
ER -