Author/Authors :
-، - نويسنده Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok (KMUTNB),
1518, Pracharat 1 Road, Sitthithakerngkiet, K. , -، - نويسنده KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkuts University of Sunthrayuth, P. , -، - نويسنده Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan. Kumam, P.
Abstract :
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.
