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Banerjee, Shrabani,Choudhury, Binayak S. Korean Mathematical Society 2011 대한수학회논문집 Vol.26 No.1
In the present work we construct a composite implicit random iterative process with errors for a finite family of asymptotically nonexpansive random operators and discuss a necessary and sufficient condition for the convergence of this process in an arbitrary real Banach space. It is also proved that this process converges to the common random fixed point of the finite family of asymptotically nonexpansive random operators in the setting of uniformly convex Banach spaces. The present work also generalizes a recently established result in Banach spaces.
Banerjee, Shrabani,Choudhury, Binayak Samadder Korean Mathematical Society 2007 대한수학회보 Vol.44 No.3
In this paper weak and strong convergence theorems of modified Noor iterations to fixed points for asymptotically nonexpansive mappings in the intermediate sense in Banach spaces are established. In one theorem where we establish strong convergence we assume an additional property of the operator whereas in another theorem where we establish weak convergence assume an additional property of the space.
Shrabani Banerjee,Binayak Samadder Choudhury 대한수학회 2007 대한수학회보 Vol.44 No.3
In this paper weak and strong convergence theorems of mod-ied Noor iterations to xed points for asymptotically nonexpansive map-pings in the intermediate sense in Banach spaces are established. In onetheorem where we establish strong convergence we assume an additionalproperty of the operator whereas in another theorem where we establishweak convergence assume an additional property of the space.