Some results of Perov type in rectangular cone metric spaces

被引：0
|
作者：
Francesca Vetro
Stojan Radenović
机构：
[1] Ton Duc Thang University,Nonlinear Analysis Research Group
[2] Ton Duc Thang University,Faculty of Mathematics and Statistics
[3] University of Belgrade,Faculty of Mechanical Engineering
来源：
Journal of Fixed Point Theory and Applications | 2018年 / 20卷
关键词：
Rectangular cone metric space; Perov’s operator; Reich–Perov operator; spectral radius; solid; normal and non-solid; fixed point; 47H10; 54H25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In 2000, Branciari replaced the triangle inequality by a more general one which today is known as the rectangular inequality and introduced the notion of generalized metric space or rectangular metric space. Subsequently Azam, Arshad, and Beg introduced the concept of rectangular cone metric space and proved fixed point results for Banach-type contractions in rectangular cone metric spaces. In this paper, we establish fixed point results for mappings that satisfy a contractive condition of Perov type in rectangular cone metric spaces.
引用
收藏
相关论文
共 50 条
  • [1] Some results of Perov type in rectangular cone metric spaces
    Vetro, Francesca
    Radenovic, Stojan
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
  • [2] Some Remarks on Perov Type Mappings in Cone Metric Spaces
    Radenovic, Stojan
    Vetro, Francesca
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (06)
  • [3] Some Remarks on Perov Type Mappings in Cone Metric Spaces
    Stojan Radenović
    Francesca Vetro
    [J]. Mediterranean Journal of Mathematics, 2017, 14
  • [4] A coincidence-point problem of Perov type on rectangular cone metric spaces
    Tchier, Fairouz
    Vetro, Calogero
    Vetro, Francesca
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (08): : 4307 - 4317
  • [5] On Some New Multivalued Results in the Metric Spaces of Perov's Type
    Guran, Liliana
    Bota, Monica-Felicia
    Naseem, Asim
    Mitrovic, Zoran D.
    de la Sen, Manuel
    Radenovic, Stojan
    [J]. MATHEMATICS, 2020, 8 (03)
  • [6] Some significant remarks on multivalued Perov type contractions on cone metric spaces with a directed graph
    Savic, Ana
    Fabiano, Nicola
    Mirkov, Nikola
    Sretenovic, Aleksandra
    Radenovic, Stojan
    [J]. AIMS MATHEMATICS, 2022, 7 (01): : 187 - 198
  • [7] Common fixed point results of Perov type contractive mappings in D*-cone metric spaces
    Abbas, Mujahid
    Rakocevic, Vladimir
    Noor, Zahra
    [J]. JOURNAL OF ANALYSIS, 2021, 29 (03): : 685 - 700
  • [8] Common Fixed Points Results of Multivalued Perov type Contractions on Cone Metric Spaces with a Directed Graph
    Abbas, Mujahid
    Nazir, Talat
    Rakcieevie, Vladimir
    [J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2018, 25 (03) : 331 - 354
  • [9] SOME RESULTS ON A CONE RECTANGULAR METRIC SPACE
    Jain, Shishir
    Jain, Shobha
    [J]. JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 8 (03): : 239 - 255
  • [10] BEST PROXIMITY POINT OF ZAMFIRESCU CONTRACTIONS OF PEROV TYPE ON REGULAR CONE METRIC SPACES
    Abbas, Mujahid
    Rakocevic, Vladimir
    Hussain, Azhar
    [J]. FIXED POINT THEORY, 2020, 21 (01): : 3 - 17
12345