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

SN - 0096-3003

VL - 216

SP - 3439

EP - 3449

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 12

ER -