| Volume 10, Number 3, 2020, Pages 986-1004 DOI：10.11948/20190179 |
| 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. |
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