Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 9, Number 1 (2018), 111-122.
On solving proximal split feasibility problems and applications
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.
Ann. Funct. Anal., Volume 9, Number 1 (2018), 111-122.
Received: 14 November 2016
Accepted: 28 February 2017
First available in Project Euclid: 14 August 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc.
Secondary: 47H05: Monotone operators and generalizations 47J25: Iterative procedures [See also 65J15]
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