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 Volume 10, Number 3, 2020, Pages 986-1004 A new iterative method for solving split feasibility problem Chanchal Garodia,Izhar Uddin Keywords:Generalized $\alpha$-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 $\alpha$-nonexpansive mappings. Again we reconfirm our results by an example and table. Further, we utilize our proposed algorithm to solve split feasibility problem. PDF      Download reader