Journal of Applied Analysis
Editor-in-Chief: Liczberski, Piotr / Ciesielski, Krzysztof
Managing Editor: Gajek, Leslaw
2 Issues per year
CiteScore 2017: 0.33
SCImago Journal Rank (SJR) 2017: 0.183
Source Normalized Impact per Paper (SNIP) 2017: 0.364
Mathematical Citation Quotient (MCQ) 2017: 0.27
The Expected–Projection Method: Its Behavior and Applications to Linear Operator Equations and Convex Optimization
It was shown by Butnariu and Flåm [J. Nnmer. Funct. Anal. Optim. 15: 601–636, 1995] that, under some conditions, sequences generated by the expected projection method (EPM) in Hilbert spaces approximate almost common points of measurable families of closed convex subsets provided that such points exist. In this work we study the behavior of the EPM in the more general situation when the involved sets may or may not have almost common points and we give necessary and sufficient conditions for weak and strong convergence. Also, we show how the EPM can be applied to finding solutions of linear operator equations and to solving convex optimization problems.
Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.