A fixed point theorem for set-valued quasi-contractions in b-metric spaces

被引:0
|
作者
Hassen Aydi
Monica-Felicia Bota
Erdal Karapınar
Slobodanka Mitrović
机构
[1] Université de Sousse,Institut Supérieur d'Informatique et des Technologies de Communication de Hammam Sousse
[2] Babeş-Bolyai University,Department of Mathematics
[3] Atılım University,Department of Mathematics
[4] University of Belgrade,Department of Mathematics, Faculty of forestry
关键词
Banach Space; Fixed Point Theorem; Unique Fixed Point; Nonnegative Real Number; Banach Contraction Principle;
D O I
暂无
中图分类号
学科分类号
摘要
In this article, we give a fixed point theorem for set-valued quasi-contraction maps in b-metric spaces. This theorem extends, unifies and generalizes several well known comparable results in the existing literature.
引用
收藏
相关论文
共 50 条
  • [1] A fixed point theorem for set-valued quasi-contractions in b-metric spaces
    Aydi, Hassen
    Bota, Monica-Felicia
    Karapinar, Erdal
    Mitrovic, Slobodanka
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [2] FIXED POINT THEOREMS FOR α-SET-VALUED QUASI-CONTRACTIONS IN b-METRIC SPACES
    Paesano, Daniela
    Vetro, Pasquale
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (04) : 685 - 696
  • [3] A fixed point theorem for set-valued quasi-contractions in b-metric space of zero at infinity varieties
    Ranjbar, Ghorban Khalilzadeh
    [J]. AFRIKA MATEMATIKA, 2023, 34 (03)
  • [4] Fixed point theorem for extended nonlinear quasi-contractions on b-metric spaces
    Arandelovic, Ivan D.
    Aljohani, Sarah
    Mitrovic, Zoran D.
    Dokic, Vladimir V.
    Mlaiki, Nabil
    [J]. RESULTS IN APPLIED MATHEMATICS, 2024, 23
  • [5] New fixed point theorems for set-valued contractions in b-metric spaces
    Radu Miculescu
    Alexandru Mihail
    [J]. Journal of Fixed Point Theory and Applications, 2017, 19 : 2153 - 2163
  • [6] New fixed point theorems for set-valued contractions in b-metric spaces
    Miculescu, Radu
    Mihail, Alexandru
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (03) : 2153 - 2163
  • [7] COMMON FIXED POINT THEOREM FOR eIRIe TYPE QUASI-CONTRACTIONS IN RECTANGULAR b-METRIC SPACES
    Li, Shu-Fang
    He, Fei
    Lu, Ning
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2019, 17 (04): : 586 - 595
  • [8] A SHARP IMPROVEMENT OF FIXED POINT RESULTS FOR QUASI-CONTRACTIONS IN b-METRIC SPACES
    Nguyen Van Dung
    [J]. MISKOLC MATHEMATICAL NOTES, 2020, 21 (01) : 451 - 461
  • [9] A Common Fixed Point Theorem for Nonlinear Quasi-Contractions on b-Metric Spaces with Application in Integral Equations
    Mitrovic, Zoran D.
    Arandelovic, Ivan D.
    Misic, Vesna
    Dinmohammadi, Abdollah
    Parvaneh, Vahid
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2020, 2020
  • [10] The existence of fixed point theorems for partial q-set-valued quasi-contractions in b-metric spaces and related results
    Poom Kumam
    Wutiphol Sintunavarat
    [J]. Fixed Point Theory and Applications, 2014