Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b-Metric Spaces

被引:19
|
作者
Zabihi, Farzaneh [1 ,2 ]
Razani, Abdolrahman [3 ]
机构
[1] Islamic Azad Univ, Coll Sci, Dept Math, Tehran Sci & Res Branch, Tehran, Iran
[2] Islamic Azad Univ, Coll Sci, Dept Math, Tehran Sci & Res Branch, Tehran, Iran
[3] Imam Khomeini Int Univ, Fac Sci, Dept Math, Qazvin, Iran
关键词
SETS;
D O I
10.1155/2014/929821
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce the new notion of a hybrid rational Geraghty contractive mapping and investigate the existence of fixed point and coincidence point for such mappings in ordered b-metric spaces. We also provide an example to illustrate the results presented herein. Finally, we establish an existence theorem for a solution of an integral equation.
引用
收藏
页数:9
相关论文
共 50 条
  • [21] Geraghty and Ciric type fixed point theorems in b-metric spaces
    Pant, Rajendra
    Panicker, R.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (11): : 5741 - 5755
  • [22] Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function
    Namana Seshagiri Rao
    Karusala Kalyani
    Belay Mitiku
    BMC Research Notes, 13
  • [23] Common fixed point theorems for generalized ordered contractive mappings on cone b-metric spaces over Banach algebras
    Bai, Chuanzhi
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (11): : 5766 - 5771
  • [24] Fixed point theorems for (α, β)-(ψ, φ)-contractive mappings in b-metric spaces with some numerical results and applications
    Yamaod, Oratai
    Sintunavarat, Wutiphol
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (01): : 22 - 33
  • [25] Generalized ( α s , ξ, h , τ )-Geraghty contractive mappings and common fixed point results in partial b-metric spaces
    Chang, Ying
    Guan, Hongyan
    AIMS MATHEMATICS, 2024, 9 (07): : 19299 - 19331
  • [26] Fixed point results for generalized rational type α-admissible contractive mappings in the setting of partially ordered b-metric spaces
    Haji, Kedir Husen
    Tola, Kidane Koyas
    Mamud, Mustefa Abduletif
    BMC RESEARCH NOTES, 2022, 15 (01)
  • [27] Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces
    Aghajani, Asadollah
    Abbas, Mujahid
    Roshan, Jamal Rezaei
    MATHEMATICA SLOVACA, 2014, 64 (04) : 941 - 960
  • [28] On some recent fixed point results for (ψ, φ)-contractive mappings in ordered partial b-metric spaces
    Huang, Huaping
    Dolicanin-Dekic, Diana
    Deng, Guantie
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (07): : 4990 - 4999
  • [29] Fixed Point Theorems Concerning Rational Geraghty Contraction in a b-Metric Space
    Rahrovi, Samira
    Piri, Hossein
    THAI JOURNAL OF MATHEMATICS, 2020, 18 (04): : 1961 - 1977
  • [30] Fixed Point Theorems for Weakly Contractive Mappings in Ordered Metric Spaces with an Application
    Prasad, Gopi
    Dimri, Ramesh Chandra
    ANALYSIS IN THEORY AND APPLICATIONS, 2022, 38 (02): : 232 - 242