Publications de l'Institut Mathématique, Nouvelle Série Vol. 95[109], pp. 229–238 (2014) 

ON THE FARTHEST POINTS IN CONVEX METRIC SPACES AND LINEAR METRIC SPACESSangeeta, T. D. NarangDepartment of Mathematics, Amardeep Singh Shergill Memorial College, Mukandpur144507, Punjab (India); Department of Mathematics, Guru Nanak Dev University, Amritsar143005 (India)Abstract: We prove some results on the farthest points in convex metric spaces and in linear metric spaces. The continuity of the farthest point map and characterization of strictly convex linear metric spaces in terms of farthest points are also discussed. Keywords: Chebyshev centre, convex metric space, externally convex metric space, farthest point, farthest point map, $M$space, strictly convex linear metric space, remotal set, uniquely remotal set Classification (MSC2000): 46B20, 46B99, 46C15, 46C99, 41A65 Full text of the article: (for faster download, first choose a mirror)
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