some iterative method for finding a common zero of a finite family of accretive operators in banach spaces

نویسندگان

k. sitthithakerngkiet

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, ‎wongsawang‎, ‎bangsue‎, ‎bangkok‎, ‎10800‎, ‎thailand p. sunthrayuth

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 technology thonburi (kmutt)‎, ‎126 pracha uthit road‎, ‎bang mod‎, ‎thung khru‎, ‎bangkok‎, ‎10140‎, ‎thailand. p. kumam

department of medical research‎, ‎china medical university hospital‎, ‎china medical university‎, ‎taichung 40402‎, ‎taiwan.

چکیده

‎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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Some iterative method for finding a common zero of a finite family of accretive operators in Banach spaces

‎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 ...

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bulletin of the iranian mathematical society

جلد ۴۳، شماره ۱، صفحات ۲۳۹-۲۵۸

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