TY - JOUR

T1 - Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems

AU - Zegeye, Habtu

AU - Shahzad, Naseer

AU - Alghamdi, Mohammad Ali

PY - 2012/12/1

Y1 - 2012/12/1

N2 - We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for continuous monotone mapping, solution of equilibrium problem and a common fixed point of finite family of asymptotically regular uniformly continuous relatively asymptotically nonexpansive mappings in Banach spaces. Our scheme does not involve computation of Cn+1 from Cn for each n ≥ 1. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

AB - We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for continuous monotone mapping, solution of equilibrium problem and a common fixed point of finite family of asymptotically regular uniformly continuous relatively asymptotically nonexpansive mappings in Banach spaces. Our scheme does not involve computation of Cn+1 from Cn for each n ≥ 1. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

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U2 - 10.1186/1687-1812-2012-119

DO - 10.1186/1687-1812-2012-119

M3 - Article

AN - SCOPUS:84872006136

VL - 2012

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

SN - 1687-1820

M1 - 119

ER -