## Charles E. Chidume, Abubakar Adamu, A new iterative algorithm for split feasibility and fixed point problems

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DOI: 10.23952/jnva.5.2021.2.02

Volume 5, Issue 2, 1 April 2021, Pages 201-210

Abstract. A new iterative algorithm for approximating a solution of a split feasibility problem and the fixed point problem of a quasi-$\phi$-nonexpansive mapping is proposed and studied. It is proved that the sequence generated by the new algorithm converges strongly to a common solution of the split feasibility problem and the fixed point problem in real Banach spaces, which are more general than Hilbert spaces.