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A New Iterative Algorithm for the Multiple-Sets Split Feasibility Problem and the Split Equality Fixed Point Problem

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Abstract

In this paper, we propose a new iterative algorithm for solving the multiple-sets split feasibility problem and the split equality fixed point problem of firmly quasi-nonexpansive mappings in real Hilbert spaces. Under very mild conditions, we prove a weak convergence theorem for our algorithm using projection method and the properties of firmly quasi-nonexpansive mappings. Our result improves and extends the corresponding ones announced by some others in the earlier and recent literature.

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  1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China

    Jin-Lin Guan

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  1. Jin-Lin Guan
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Correspondence to Jin-Lin Guan.

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Guan, JL. A New Iterative Algorithm for the Multiple-Sets Split Feasibility Problem and the Split Equality Fixed Point Problem. Mediterr. J. Math. 18, 19 (2021). https://doi.org/10.1007/s00009-020-01671-8

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  • DOI: https://doi.org/10.1007/s00009-020-01671-8

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