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:
bulletin of the iranian mathematical societyجلد ۴۳، شماره ۱، صفحات ۲۳۹-۲۵۸
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