
Journal of Convex Analysis 24 (2017), No. 1, 103106 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, AlKhod, 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 [ Fulltextpdf (77 KB)] for subscribers only. 