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
来源：
JOURNAL OF APPLIED MATHEMATICS | 2014年
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
  • [31] Fixed point theorems for operators with a contractive iterate in b-metric spaces
    Bota, Monica-Felicia
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2016, 61 (04): : 435 - 442
  • [32] α-ψ-φ-contractive mappings in ordered partial b-metric spaces
    Mukheimer, Aiman
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (03): : 168 - 179
  • [33] Fixed Point Theorems for Geraghty Type Contractive Mappings and Coupled Fixed Point Results in 0-Complete Ordered Partial Metric Spaces
    Yolacan, Esra
    INTERNATIONAL JOURNAL OF ANALYSIS, 2016,
  • [34] Coupled fixed points of contractive mappings in partially ordered b-metric spaces
    Rao, N. Seshagiri
    HELIYON, 2022, 8 (12)
  • [35] Fixed Point Theorems of Almost Generalized Contractive Mappings in b-Metric Spaces and an Application to Integral Equation
    Rao, N. Seshagiri
    Mitrovic, Zoran D.
    Santina, Dania
    Mlaiki, Nabil
    MATHEMATICS, 2023, 11 (11)
  • [36] A note on common fixed point theorems for isotone increasing mappings in ordered b-metric spaces
    Huang, Huaping
    Vujakovic, Jelena
    Radenovic, Stojan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05): : 808 - 815
  • [37] Common fixed point theorems for weakly isotone increasing mappings in ordered b-metric spaces
    Roshan, Jamal Rezaei
    Parvaneh, Vahid
    Kadelburg, Zoran
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (04): : 229 - 245
  • [38] Common coupled fixed point theorems satisfying rational type contractive conditions in b-metric spaces
    Sarwar, Muhammad
    Hussain, Saddam
    Kumari, Panda Sumati
    SPRINGERPLUS, 2016, 5
  • [39] Fixed point theorems on multi valued mappings in b-metric spaces
    Joseph, J. Maria
    Roselin, D. Dayana
    Marudai, M.
    SPRINGERPLUS, 2016, 5 : 1 - 8
  • [40] A FIXED POINT THEOREM FOR GENERALIZED CYCLIC CONTRACTIVE MAPPINGS IN B-METRIC SPACES
    Han, Bui T. N.
    Hieu, Nguyen T.
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2016, 31 (02): : 399 - 415
12345