We characterize the AR property in convex subsets of metric linear spaces in terms of certain near-selections.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm192-3-2, author = {Tadeusz Dobrowolski and Jan van Mill}, title = {Selections and near-selections in metric linear spaces without local convexity}, journal = {Fundamenta Mathematicae}, volume = {189}, year = {2006}, pages = {215-232}, zbl = {1120.54016}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm192-3-2} }
Tadeusz Dobrowolski; Jan van Mill. Selections and near-selections in metric linear spaces without local convexity. Fundamenta Mathematicae, Tome 189 (2006) pp. 215-232. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm192-3-2/