Some iterative method for finding a common zero of a finite family of accretive operators in Banach spaces
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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.
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Journal title
volume 43 issue 1
pages 239- 258
publication date 2017-02-22
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