%0 Journal Article
%T Some iterative method for finding a common zero of a finite family of accretive operators in Banach spaces
%J Bulletin of the Iranian Mathematical Society
%I Springer and the Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Sitthithakerngkiet, K.
%A Sunthrayuth, P.
%A Kumam, P.
%D 2017
%\ 02/22/2017
%V 43
%N 1
%P 239-258
%! Some iterative method for finding a common zero of a finite family of accretive operators in Banach spaces
%K Iterative method
%K accretive operator
%K strong convergence
%K common zero
%K Uniformly G^ateaux differentiable norm
%K Gauge function
%R
%X The purpose of this paper is to introduce a new mapping for a finite family of accretive operators and introduce an iterative algorithm for finding a common zero of a finite family of accretive operators in a real reflexive strictly convex Banach space which has a uniformly G^ateaux differentiable norm and admits the duality mapping $j_{varphi}$, where $varphi$ is a gauge function invariant on $[0,infty)$. Furthermore, we prove the strong convergence under some certain conditions. The results obtained in this paper improve and extend the corresponding ones announced by many others.
%U http://bims.iranjournals.ir/article_1009_079258258926c9d4634783d3b9662fee.pdf