Fixed points of mappings with a contractive iterate at a point in partial metric spaces

被引：3
|
作者：
Ilic, Dejan [1 ]
Pavlovic, Vladimir [1 ]
Rakocevic, Vladimir [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, Dept Math, Nish 18000, Serbia
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
fixed point; partial metric space; contractive iterate at a point; PRINCIPLE; THEOREMS;
D O I：
10.1186/1687-1812-2013-335
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 1994, Matthews introduced and studied the concept of partial metric space and obtained a Banach-type fixed point theorem on complete partial metric spaces. In this paper we study fixed point results of new mappings with a contractive iterate at a point in partial metric spaces. Our results generalize and unify some results of Sehgal, Guseman and Ciric for mappings with a generalized contractive iterate at a point to partial metric spaces. We give some generalized versions of the fixed point theorem of Matthews. The theory is illustrated by some examples.
引用
收藏
页数：18
相关论文
共 50 条
  • [1] Fixed points of mappings with a contractive iterate at a point in partial metric spaces
    Dejan Ilić
    Vladimir Pavlović
    Vladimir Rakočević
    [J]. Fixed Point Theory and Applications, 2013
  • [2] FIXED POINT THEOREMS FOR MAPPINGS WITH A CONTRACTIVE ITERATE AT A POINT IN MODULAR METRIC SPACES
    Karapinar, Erdal
    Aksoy, Umit
    Fulga, Andreea
    Erhan, Inci M.
    [J]. FIXED POINT THEORY, 2022, 23 (02): : 519 - 531
  • [3] On mappings with φ-contractive iterate at a point on generalized metric spaces
    Ljiljana Gajić
    Mila Stojaković
    [J]. Fixed Point Theory and Applications, 2014
  • [4] On Mappings with Contractive Iterate at a Point in Generalized Metric Spaces
    Gajic, Ljiljana
    Lozanov-Crvenkovic, Zagorka
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [5] On mappings with φ-contractive iterate at a point on generalized metric spaces
    Gajic, Ljiljana
    Stojakovic, Mila
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [6] On Mappings with Contractive Iterate at a Point in Generalized Metric Spaces
    Ljiljana Gajić
    Zagorka Lozanov-Crvenković
    [J]. Fixed Point Theory and Applications, 2010
  • [7] A FIXED POINT RESULT FOR MAPPINGS WITH CONTRACTIVE ITERATE AT A POINT IN G-METRIC SPACES
    Gajic, Ljiljana
    Lozanov-Crvenkovic, Zagorka
    [J]. FILOMAT, 2011, 25 (02) : 53 - 58
  • [8] Fixed points for mappings with a contractive iterate at each point
    Karaibryamov, Samet
    Zlatanov, Boyan
    [J]. MATHEMATICA SLOVACA, 2014, 64 (02) : 455 - 468
  • [9] Fixed Points of Multivalued Contractive Mappings in Partial Metric Spaces
    Khan, Abdul Rahim
    Abbas, Mujahid
    Nazir, Talat
    Ionescu, Cristiana
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [10] A FIXED POINT THEOREM FOR MAPPINGS WITH A CONTRACTIVE ITERATE IN RECTANGULAR b-METRIC SPACES
    Mitrovic, Zoran D.
    [J]. MATEMATICKI VESNIK, 2018, 70 (03): : 204 - 210
12345