Abstract
In this paper, we introduce an iterative process which converges strongly to a common element of set of common fixed points of countably infinite family of closed relatively quasi- nonexpansive mappings, the solution set of generalized equilibrium problem and the solution set of the variational inequality problem for a γ-inverse strongly monotone mapping in Banach spaces. Our theorems improve, generalize, unify and extend several results recently announced.
| Original language | English |
|---|---|
| Pages (from-to) | 3439-3449 |
| Number of pages | 11 |
| Journal | Applied Mathematics and Computation |
| Volume | 216 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - Aug 15 2010 |
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All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics
Cite this
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Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings. / Zegeye, Habtu; Ofoedu, Eric U.; Shahzad, Naseer.
In: Applied Mathematics and Computation, Vol. 216, No. 12, 15.08.2010, p. 3439-3449.Research output: Contribution to journal › Article
TY - JOUR
T1 - Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings
AU - Zegeye, Habtu
AU - Ofoedu, Eric U.
AU - Shahzad, Naseer
PY - 2010/8/15
Y1 - 2010/8/15
N2 - In this paper, we introduce an iterative process which converges strongly to a common element of set of common fixed points of countably infinite family of closed relatively quasi- nonexpansive mappings, the solution set of generalized equilibrium problem and the solution set of the variational inequality problem for a γ-inverse strongly monotone mapping in Banach spaces. Our theorems improve, generalize, unify and extend several results recently announced.
AB - In this paper, we introduce an iterative process which converges strongly to a common element of set of common fixed points of countably infinite family of closed relatively quasi- nonexpansive mappings, the solution set of generalized equilibrium problem and the solution set of the variational inequality problem for a γ-inverse strongly monotone mapping in Banach spaces. Our theorems improve, generalize, unify and extend several results recently announced.
UR - http://www.scopus.com/inward/record.url?scp=77953614828&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77953614828&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2010.02.054
DO - 10.1016/j.amc.2010.02.054
M3 - Article
VL - 216
SP - 3439
EP - 3449
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
SN - 0096-3003
IS - 12
ER -