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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

Mohammad Saeed Khan
Dept. of Mathematics and Statistics, Sultan Qaboos University, P. O. Box 36, Al-Khod, Muscat, Sultanate of Oman

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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