About the condition of the compactness in the space of star-shaped sets

被引：0
|
作者：
Makazhanova, T. Kh. [1 ]
机构：
[1] Ye A Buketov Karaganda State Univ, Tech Sci, Karaganda, Kazakhstan
来源：
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS | 2014年 / 76卷 / 04期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper was investigated the space S(X) star-shaped sets in the finite-dimensional The properties of space is the space of star-shaped subsets of finite-dimensional Euclidean space, which is an ordered nor med space. Here were obtained the conditions of the compactness in S(X) for subsets consisting of the convex star-shaped sets.
引用
收藏
页码：74 / 78
页数：5
相关论文
共 50 条
  • [41] Hemivariational Inequality Approach to Evolutionary Constrained Problems on Star-Shaped Sets
    Gasinski, Leszek
    Liu, Zhenhai
    Migorski, Stanislaw
    Ochal, Anna
    Peng, Zijia
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2015, 164 (02) : 514 - 533
  • [42] Distributed region following and perimeter surveillance tasks in star-shaped sets
    D'Alfonso, Luigi
    Fedele, Giuseppe
    Bono, Antonio
    SYSTEMS & CONTROL LETTERS, 2023, 172
  • [43] A class of differential hemivariational inequalities constrained on nonconvex star-shaped sets
    Lu, Liang
    Li, Lijie
    Han, Jiangfeng
    OPTIMIZATION, 2024, 73 (06) : 1781 - 1805
  • [44] NONEXPANSIVE SET-VALUED MAPPINGS ON BOUNDED STAR-SHAPED SETS
    Reich, Simeon
    Zaslavski, Alexander J.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (07) : 1383 - 1392
  • [45] Hemivariational Inequality Approach to Evolutionary Constrained Problems on Star-Shaped Sets
    Leszek Gasiński
    Zhenhai Liu
    Stanisław Migórski
    Anna Ochal
    Zijia Peng
    Journal of Optimization Theory and Applications, 2015, 164 : 514 - 533
  • [46] Topological properties and structure of fuzzy star-shaped numbers in noncompact sets
    Liu, Wenjuan
    Liu, Dongming
    FUZZY SETS AND SYSTEMS, 2025, 509
  • [47] A FIXED-POINT THEOREM FOR A CLASS OF STAR-SHAPED SETS IN CO
    HAYDON, R
    ODELL, E
    STERNFELD, Y
    ISRAEL JOURNAL OF MATHEMATICS, 1981, 38 (1-2) : 75 - 81
  • [48] Lower Convergence of Minimal Sets in Star-Shaped Vector Optimization Problems
    Hu, Rong
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [49] Constrained Variational-Hemivariational Inequalities on Nonconvex Star-Shaped Sets
    Migorski, Stanislaw
    Fengzhen, Long
    MATHEMATICS, 2020, 8 (10) : 1 - 18
  • [50] CONTINUOUS MOTIONS IN THE SPACE OF CONFIGURATIONS OF RIGID STAR-SHAPED BODIES
    GALPERIN, GA
    RUSSIAN MATHEMATICAL SURVEYS, 1986, 40 (05) : 229 - 230
12345