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arXiv · 1610.02133

The split feasibility and fixed point equality problems for quasi-nonexpansive mappings in Hilbert spaces

L. B. Mohammed·A. Kılıçman
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Abstract

In this paper, we introduce a new problem called the split feasibility and fixed point equality problems (SFFPEP) and propose a new iterative algorithm for solving the problem (SFFPEP) for the class of quasi-nonexpansive mappings in Hilbert spaces. Furthermore, we study the convergence of the proposed algorithm. At the end, we give numerical example that illustrate our theoretical result. The SFFPEP is a generalization of the split feasibility problem (SFP), split feasibility and fixed point problems (SFFPP) and split equality fixed point problem (SEFPP).

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BibTeXRIS

L. B. Mohammed, A. Kılıçman. 2016-10-07. The split feasibility and fixed point equality problems for quasi-nonexpansive mappings in Hilbert spaces. https://arxiv.org/abs/1610.02133

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