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Vol.1, 2011
A NEW ITERATIVE METHOD FOR SOLVING SPLIT FEASIBILITY PROBLEM
CHANCHAL GARODIA,Izhar Uddin
Keywords:: Generalized α-nonexpansive mappings, Fixed point, Contractive-like mappings, Iteration process, Strong and weak convergence, Split feasibility problem.
Abstract:
      . In this paper, we construct a new iterative algorithm and show that the newly introduced iterative algorithm converges faster than a number of existing iterative algorithms for contractive-like mappings. We present a numerical example followed by graphs to validate our claim. We prove strong and weak convergence results for approximating fixed points of generalized α-nonexpansive mappings. Again we reconfirm our results by example and table. Further, we utilize our proposed algorithm to solve split feasibility problem