Bandyopadhyay P, Li Y J, Lin B L, Narayana D. Proximinality in Banach space. J Math Anal Appl, 2008, 341: 309–317
Diestel J. Sequences and Series in Banach Spaces. GTM 92. Springer, 1984
Szymon Draga. On weakly uniformly rotund norms which are not locally uniformly rotund. Colloquium Mathematicum, 2015, 138(2): 241–246
[+]
Bandyopadhyay P, Li Y J, Lin B L, Narayana D. Proximinality in Banach space. J Math Anal Appl, 2008, 341: 309–317
Diestel J. Sequences and Series in Banach Spaces. GTM 92. Springer, 1984
Szymon Draga. On weakly uniformly rotund norms which are not locally uniformly rotund. Colloquium Mathematicum, 2015, 138(2): 241–246
Efimov N W, Stechkin S B. Approximate compactness and Chebyshev sets. Sorit Mathematics, 1961, 2: 1226–1228
Fabian M, Habala P, Hájek P, Montesinos V, Zizler V. Banach Space Theory; The Basis for Linear and NonLinear Analysis. Springer, 2011
Fang X N, Wang J H. Convexity and Continuity of the metric projection. Math Appl, 2001, 14(1): 47–51 (in Chinesse)
Giles J R, Gregory D A, Sims B. Geometrical implications of upper semi-continuity of the duality mapping on Banach space. Pacific J Math, 1978, 79(1): 99–109
Guirao A J, Montesinos V. A note in approximative compactness and continuity of the metric projection in Banach spaces. J Convex Anal, 2011, 18: 341–397
Hájek P, Montesinos V, Zizler V. Geometry and Gâteaux smoothness in separable Banach spaces. Operators and Matrices, 2012, 6(2): 201–232
Hudzik H, Kowalewski W, Lewicki G. Approximative compactness and full rotundity in Musielak-Orlicz space and Lorentz-Orlice spaces. Z Anal Anwen Aungen, 2006, 25: 163–192
Molto A, Orihuela J, Troyanski S, Valdivia M. A Nonlinear Transfer Technique for Renorming//Lecture Notes in Math 1951. Berlin: Springer, 2009
Montesinos V. Drop property equals reflexivity. Studia Mathm, 1987, 87(1): 93–100
Wang J H, Zhang Z H. Characterization of the property (C - κ). Acta Math Sci Ser A Chinese Ed, 1997, 17A(3): 280–284
Zhang Z H, Liu C Y. Convexity and existence of the farthest point. Abstract and Applied Analysis 2011. Article ID 139597. Doi:10.1155/2011/139597, 2011
Zhang Z H, Liu C Y. Convexity and proximinality in Banach space. J Funct Spaces Appl Art, ID 724120, 2012
Zhang Z H, Montesinos V, Liu C Y, Gong W Z. Geometric properties and continuity of pre-duality mapping in Banach spaces. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales Serie A, Matemáticas, 2015, 109(2): 407–416
Zhang Z H, Shi Z R. Convexities and approximative compactness and continuity of metric projection in Banach spaces. J Approx Theory, 2009, 2(161): 800–812
Zhang Z H, Zhou Y, Liu C Y. Near convexity, near smoothness and approximative compactness of half space in Banach space. Acta Math Sinica (Engl Ser), 2016, 32(5): 599–606
Liu C Y, Zhang Z H, Zhou Y. A note approximative compactness and midpoint locally K-uniform rotundity in Banach spaces. Acta Mathematica Scientia, 2018, 38B(2): 643–650
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