%A 商绍强 %T CONTINUOUS SELECTIONS OF THE SET-VALUED METRIC GENERALIZED INVERSE IN 2-STRICTLY CONVEX BANACH SPACES %0 Journal Article %D 2022 %J 数学物理学报(英文版) %R 10.1007/s10473-022-0324-4 %P 1225-1237 %V 42 %N 3 %U {http://121.43.60.238/sxwlxbB/CN/abstract/article_16736.shtml} %8 %X In this paper, we prove that if $X$ is an almost convex and 2-strictly convex space, linear operator $T: X \to Y$ is bounded, $N(T)$ is an approximative compact Chebyshev subspace of $X$ and $R(T)$ is a 3-Chebyshev hyperplane, then there exists a homogeneous selection ${T^\sigma }$ of ${T^\partial }$ such that continuous points of ${T^\sigma }$ and ${T^\partial }$ are dense on $Y$.