Annals of Functional Analysis

On solving proximal split feasibility problems and applications

Uamporn Witthayarat, Yeol Je Cho, and Prasit Cholamjiak

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Abstract

We study the problem of proximal split feasibility of two objective convex functions in Hilbert spaces. We prove that, under suitable conditions, certain strong convergence theorems of the Halpern-type algorithm present solutions to the proximal split feasibility problem. Finally, we provide some related applications as well as numerical experiments.

Article information

Source
Ann. Funct. Anal., Volume 9, Number 1 (2018), 111-122.

Dates
Received: 14 November 2016
Accepted: 28 February 2017
First available in Project Euclid: 14 August 2017

Permanent link to this document
https://projecteuclid.org/euclid.afa/1502697621

Digital Object Identifier
doi:10.1215/20088752-2017-0028

Mathematical Reviews number (MathSciNet)
MR3758747

Zentralblatt MATH identifier
06841345

Subjects
Primary: 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc.
Secondary: 47H05: Monotone operators and generalizations 47J25: Iterative procedures [See also 65J15]

Keywords
split feasibility problem strong convergence Halpern-type algorithm proximity operator

Citation

Witthayarat, Uamporn; Cho, Yeol Je; Cholamjiak, Prasit. On solving proximal split feasibility problems and applications. Ann. Funct. Anal. 9 (2018), no. 1, 111--122. doi:10.1215/20088752-2017-0028. https://projecteuclid.org/euclid.afa/1502697621


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References

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