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.
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U2 - 10.1016/j.amc.2010.02.054
DO - 10.1016/j.amc.2010.02.054
M3 - Article
AN - SCOPUS:77953614828
VL - 216
SP - 3439
EP - 3449
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
SN - 0096-3003
IS - 12
ER -