TY - JOUR
T1 - A hybrid scheme for finite families of equilibrium, variational inequality and fixed point problems
AU - Zegeye, Habtu
AU - Shahzad, Naseer
PY - 2011/1/1
Y1 - 2011/1/1
N2 - We introduce an iterative process for finding an element in the common fixed point set of finite family of closed relatively quasi-nonexpansive mappings, common solutions of finite family of equilibrium problems and common solutions of finite family of variational inequality problems for monotone mappings in Banach spaces. Our theorem extends and unifies most of the results that have been proved for this important class of nonlinear operators.
AB - We introduce an iterative process for finding an element in the common fixed point set of finite family of closed relatively quasi-nonexpansive mappings, common solutions of finite family of equilibrium problems and common solutions of finite family of variational inequality problems for monotone mappings in Banach spaces. Our theorem extends and unifies most of the results that have been proved for this important class of nonlinear operators.
UR - http://www.scopus.com/inward/record.url?scp=77957671857&partnerID=8YFLogxK
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U2 - 10.1016/j.na.2010.08.040
DO - 10.1016/j.na.2010.08.040
M3 - Article
AN - SCOPUS:77957671857
SN - 0362-546X
VL - 74
SP - 263
EP - 272
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 1
ER -