Abstract
In this paper, we introduce an iterative process which converges strongly to a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function. Our convergence theorem is applied to the convex minimization problem. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings.
| Original language | English |
|---|---|
| Article number | 343 |
| Journal | Fixed Point Theory and Applications |
| Volume | 2013 |
| DOIs | |
| Publication status | Published - Jan 1 2013 |
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All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Applied Mathematics
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Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function. / Shahzad, Naseer; Zegeye, Habtu; Alotaibi, Abdullah.
In: Fixed Point Theory and Applications, Vol. 2013, 343, 01.01.2013.Research output: Contribution to journal › Article
TY - JOUR
T1 - Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function
AU - Shahzad, Naseer
AU - Zegeye, Habtu
AU - Alotaibi, Abdullah
PY - 2013/1/1
Y1 - 2013/1/1
N2 - In this paper, we introduce an iterative process which converges strongly to a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function. Our convergence theorem is applied to the convex minimization problem. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings.
AB - In this paper, we introduce an iterative process which converges strongly to a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function. Our convergence theorem is applied to the convex minimization problem. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings.
UR - http://www.scopus.com/inward/record.url?scp=84902214691&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84902214691&partnerID=8YFLogxK
U2 - 10.1186/1687-1812-2013-343
DO - 10.1186/1687-1812-2013-343
M3 - Article
AN - SCOPUS:84902214691
VL - 2013
JO - Fixed Point Theory and Applications
JF - Fixed Point Theory and Applications
SN - 1687-1820
M1 - 343
ER -