@article {MR1146585, AUTHOR = {Sonntag, Yves and Z{\u{a}}linescu, Constantin}, TITLE = {Scalar convergence of convex sets}, JOURNAL = {J. Math. Anal. Appl.}, FJOURNAL = {Journal of Mathematical Analysis and Applications}, VOLUME = {164}, YEAR = {1992}, NUMBER = {1}, PAGES = {219--241}, ISSN = {0022-247X}, CODEN = {JMANAK}, MRCLASS = {52A05 (46A99 54B20)}, MRNUMBER = {MR1146585 (93c:52002)}, MRREVIEWER = {Gerald Beer}, DOI = {10.1016/0022-247X(92)90154-6}, URL = {http://dx.doi.org/10.1016/0022-247X(92)90154-6}, }