Common fixed point theorems for generalized expansive mappings in partial b-metric spaces and an application

被引：0
|
作者：
Chuanxi Zhu
Wenqing Xu
Chunfang Chen
Xiaozhi Zhang
机构：
[1] Nanchang University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2014卷
关键词：
partial metric space; -metric space; expansive mappings; weakly expansive mappings; common fixed point;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we first introduce the concepts of generalized (ψ,f)λ-expansive mappings and generalized (ϕ,g,h)λ-weakly expansive mappings designed for three mappings. Then we establish some common fixed point results for such two new types of mappings in partial b-metric spaces. These results generalize and extend the main results of Karapınar et al. (J. Inequal. Appl. 2014:22, 2014), Nashine et al. (Fixed Point Theory Appl. 2013:203, 2013) and many comparable results from the current literature. Moreover, some examples and an application to a system of integral equations are given here to illustrate the usability of the obtained results.
引用
收藏
相关论文
共 50 条
  • [1] Common fixed point theorems for generalized expansive mappings in partial b-metric spaces and an application
    Zhu, Chuanxi
    Xu, Wenqing
    Chen, Chunfang
    Zhang, Xiaozhi
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [2] Fixed Point and Coincidence Point Theorems for Expansive Mappings in Partial b-Metric Spaces
    Chaipornjareansri, Somkiat
    [J]. THAI JOURNAL OF MATHEMATICS, 2018, : 169 - 185
  • [3] Generalized α- ψ contractive mappings in partial b-metric spaces and related fixed point theorems
    Wu, Xianbing
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 3255 - 3278
  • [4] Common Fixed Point Theorems for Two Mappings in Complete b-Metric Spaces
    Chen, Lili
    Xia, Xin
    Zhao, Yanfeng
    Liu, Xin
    [J]. FRACTAL AND FRACTIONAL, 2022, 6 (02)
  • [5] Common fixed point theorems for multivalued mappings in b-metric spaces with an application to integral inclusions
    Aliouche, Abdelkrim
    Hamaizia, Taieb
    [J]. JOURNAL OF ANALYSIS, 2022, 30 (01): : 43 - 62
  • [6] Common fixed point theorems for multivalued mappings in b-metric spaces with an application to integral inclusions
    Abdelkrim Aliouche
    Taieb Hamaizia
    [J]. The Journal of Analysis, 2022, 30 : 43 - 62
  • [7] Partial b-Metric Spaces and Fixed Point Theorems
    Shukla, Satish
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2014, 11 (02) : 703 - 711
  • [8] Fixed point theorems on generalized b-metric spaces
    Petre, Ioan-Radu
    Bota, Monica
    [J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2013, 83 (1-2): : 139 - 159
  • [9] Partial b-Metric Spaces and Fixed Point Theorems
    Satish Shukla
    [J]. Mediterranean Journal of Mathematics, 2014, 11 : 703 - 711
  • [10] Fixed point theorems for generalized (α, ψ)-contraction mappings in rectangular quasi b-metric spaces
    Abagaro, Bontu Nasir
    Tola, Kidane Koyas
    Mamud, Mustefa Abduletif
    [J]. FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2022, 2022 (01):
12345