Journal of Convex Analysis 24 (2017), No. 1, 103--106
Copyright Heldermann Verlag 2017
On Fixed Point Properties of a Convex Combination of Metric Projections
Dinu Teodorescu
Dept. of Mathematics, Valahia University, Bd. Unirii 18, 130024 Targoviste, Romania
dteodorescu2003@yahoo.com
Mohammad Saeed Khan
Dept. of Mathematics and Statistics, Sultan Qaboos University, P. O. Box 36, Al-Khod, Muscat, Sultanate of Oman
mohammad@squ.edu.om
To illustrate the usability of a famous Browder's theorem, some fixed point properties of a convex combination of metric projections are provided.
Keywords: Nonexpansive operator, firmly nonexpansive operator, metric projection.
MSC: 47H09, 47H10
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