BEST PROXIMITY POINTS FOR PROXIMAL CONTRACTIONS

被引:0
|
作者
Fernandez-Leon, Aurora [1 ]
机构
[1] Univ Seville, Dpto Anal Matemat, E-41080 Seville, Spain
关键词
Proximal contraction; fixed point; best proximity point; approximate solution; metric space; EQUILIBRIUM PAIRS; EXISTENCE; THEOREMS; MULTIFUNCTIONS; CONVERGENCE; EXTENSIONS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we improve and extend some best proximity point results concerning the so-called proximal contractions. Specifically, compactness assumptions under the sets A and B are removed to consider completeness conditions instead. Following similar techniques, certain improvements for more general mappings are obtained.
引用
收藏
页码:313 / 324
页数:12
相关论文
共 50 条
  • [1] Best Proximity Points forWeak Proximal Contractions
    Gabeleh, Moosa
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (01) : 143 - 154
  • [2] Best Proximity Points for Weak Proximal Contractions
    Moosa Gabeleh
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 143 - 154
  • [3] On best proximity points of interpolative proximal contractions
    Altun, Ishak
    Tasdemir, Aysenur
    [J]. QUAESTIONES MATHEMATICAE, 2021, 44 (09) : 1233 - 1241
  • [4] Best proximity and best periodic points for proximal nonunique contractions
    Sahin, Hakan
    Aslantas, Mustafa
    Altun, Ishak
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2021, 23 (04)
  • [5] Best proximity and best periodic points for proximal nonunique contractions
    Hakan Sahin
    Mustafa Aslantas
    Ishak Altun
    [J]. Journal of Fixed Point Theory and Applications, 2021, 23
  • [6] Best Proximity Points for Some Classes of Proximal Contractions
    Alghamdi, Maryam A.
    Shahzad, Naseer
    Vetro, Francesca
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [7] On common best proximity points for generalized α - ψ-proximal contractions
    Aydi, Hassen
    Felhi, Abdelbasset
    Karapinar, Erdal
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2658 - 2670
  • [8] SOME COMMENTS ON BEST PROXIMITY POINTS FOR ORDERED PROXIMAL CONTRACTIONS
    Gabeleh, Moosa
    Markin, Jack
    De la Sen, Manuel
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (04): : 1434 - 1442
  • [9] Best proximity points for proximal generalized contractions in metric spaces
    Amini-Harandi, A.
    [J]. OPTIMIZATION LETTERS, 2013, 7 (05) : 913 - 921
  • [10] ON PROXIMAL CONTRACTIONS VIA IMPLICIT RELATIONS AND BEST PROXIMITY POINTS
    Mondal, Pratikshan
    Garai, Hiranmoy
    Dey, Lakshmi Kanta
    [J]. MISKOLC MATHEMATICAL NOTES, 2021, 22 (02) : 783 - 798