Author/Authors :
Dianatifar، A. نويسنده Department of Mathematics, Shahid Chamran university of Ahvaz, Ahvaz, Iran , , Golkar، F. نويسنده Department of Mathematics, Shahid Chamran university of Ahvaz, Ahvaz, Iran , , Forouzanfar، A. M. نويسنده Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran ,
Abstract :
We introduce an iterative method for finding a common fixed point of a semigroup of infinite family of
nonexpansive mappings in Hilbert space, with respect to a sequence of left regular means defined on an
appropriate space of bounded real valued functions of the semigroup. we prove the strong convergence of
the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality
condition for a minimization problem.
