Title of article
Some iterative method for finding a common zero of a finite family of accretive operators in Banach spaces
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.
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2017
Pages
20
From page
239
To page
258
Abstract
-
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.
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2400337
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