[1] Guirao A J, Montesinos V. A note in approximative compactness and continuity of metric projections in Banach space. J Convex Anal, 2011, 18:397-401
[2] Hudzik H, Wang B X. Approximative compactness in Orlicz space. J Approx Theory, 1998, 95:82-89
[3] Hudzik H, Kowalowski W, Lewiski G. Approximative compactness and full rotundity in Musielak-Orlicz space and Lorentz-Orlicz space. Z Anal Anwendungen, 2006, 25:163-192
[4] He R Y. k-strongly convex and locally k-uniformly smooth spaces. J Math(PRC), 1997, 17:251-256
[5] Istratescu V I. Strict convexity and complex strict convexity. New York and Basel:Marcel Dekker Inc, 1984
[6] Lin B L, Yu X T. On the k-uniform rotund and the fully convex Banach spaces. J Math Anal Appl, 1985, 110:407-410
[7] Megginson R E. An introduction to Banach space theory. New York:Springer-Verlag, 1998
[8] Nan C, Wang J. On the Lk-UR and L-kR spaces. Math Proc Cambridge Philos Soc, 1988, 104:521-526
[9] Singer I. The theory of best approximation and functional analysis. Philadelphis:Society for Industrial and Applied Mathematics, 1974
[10] Xian J, Li Y J. k-very convex space and k-very smooth space. J Math Res Exposition, 2004, 24(3):483-492
[11] Zhang Z H, Shi Z R. Convexities and approximative compactness and continuity of metric projection in Banach spaces. J Approx Theory, 2009, 161:802-812
[12] Zhang Z H, Liu C Y. Convexity and proximinality in Banach spaces. J Funct Space Appl, 2012, 2012, Article ID 724120, 11 pages
[13] Zhang Z H, Liu C Y, Zhou Y. Some examples concerning proximinality in Banach spaces. J Approx Theory, 2015, 200:136-143 |