New discontinuity results at fixed point on metric spaces

被引：0
|
作者：
Nihal Özgür
Nihal Taş
机构：
[1] Balıkesir University,Department of Mathematics
来源：
Journal of Fixed Point Theory and Applications | 2021年 / 23卷
关键词：
Fixed point; common fixed point; fixed circle; discontinuity; Primary 54H25; Secondary 47H10; 55M20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Recently, the discontinuity problem at a fixed point has been studied by various aspects. In this paper, we investigate new solutions to the discontinuity problem using appropriate contractive conditions which are strong enough to generate fixed points (resp. common fixed points) but which do not force the map (resp. maps) to be continuous at fixed points. An application is also given to the fixed-circle problem on a metric space.
引用
收藏
相关论文
共 50 条
  • [1] New discontinuity results at fixed point on metric spaces
    Ozgur, Nihal
    Tas, Nihal
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2021, 23 (02)
  • [2] New results on discontinuity at fixed point
    Pant, R. P.
    Ozgur, Nihal
    Tas, Nihal
    Pant, Abhijit
    Joshi, Mahesh C.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (02)
  • [3] New results on discontinuity at fixed point
    R. P. Pant
    Nihal Özgür
    Nihal Taş
    Abhijit Pant
    Mahesh C. Joshi
    Journal of Fixed Point Theory and Applications, 2020, 22
  • [4] Discontinuity at fixed point and metric completeness
    Bisht, Ravindra K.
    Rakocevic, Vladimir
    APPLIED GENERAL TOPOLOGY, 2020, 21 (02): : 349 - 362
  • [5] NEW FIXED POINT RESULTS IN ORTHOGONAL METRIC SPACES WITH AN APPLICATION
    Senapati, T.
    Dey, L. K.
    Damjanovic, B.
    Chanda, A.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2018, 42 (04): : 505 - 516
  • [6] NEW FIXED POINT RESULTS IN bv (s)-METRIC SPACES
    Dosenovic, Tatjana
    Kadelburg, Zoran
    Mitrovic, Zoran D.
    Radenovic, Stojan
    MATHEMATICA SLOVACA, 2020, 70 (02) : 441 - 452
  • [7] FIXED POINT RESULTS ON METRIC-TYPE SPACES
    Cosentino, Monica
    Salimi, Peyman
    Vetro, Pasquale
    ACTA MATHEMATICA SCIENTIA, 2014, 34 (04) : 1237 - 1253
  • [8] FIXED POINT RESULTS ON METRIC-TYPE SPACES
    Monica COSENTINO
    Peyman SALIMI
    Pasquale VETRO
    ActaMathematicaScientia, 2014, 34 (04) : 1237 - 1253
  • [9] On some new fixed point results in b-rectangular metric spaces
    Ding, Hui-Sheng
    Ozturk, Vildan
    Radenovic, Stojan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (04): : 378 - 386
  • [10] FIXED POINT RESULTS IN COMPLETE METRIC SPACES
    Latif, Abdul
    Albar, Wafaa A.
    DEMONSTRATIO MATHEMATICA, 2008, 41 (01) : 145 - 150
12345