Fixed point theorems for orthogonal F-contraction mappings on O-complete metric spaces

  • Kanokwan Sawangsup
  • Wutiphol SintunavaratEmail author
  • Yeol Je Cho


In this paper, we introduce the notion of an orthogonal F-contraction mapping and establish some fixed point results for such contraction mappings in orthogonally metric spaces. Also, we give some examples which claim that the main results are generalizations of the Wardowski’s fixed point theorem. As applications of the main results, we apply our main results to show the existence of a unique solution of the first-order ordinary differential equation.


Fixed point orthogonally metric space orthogonal F-contraction differential equation 

Mathematics Subject Classification

47H10 54H25 



The second author would like to thank the Thailand Research Fund and Office of the Higher Education Commission under Grant No. MRG6180283 for financial support during the preparation of this manuscript.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Kanokwan Sawangsup
    • 1
  • Wutiphol Sintunavarat
    • 1
    Email author
  • Yeol Je Cho
    • 2
    • 3
  1. 1.Department of Mathematics and Statistics Faculty of Science and TechnologyThammasat University, Rangsit CenterPathumthaniThailand
  2. 2.Department of Mathematics EducationGyeongsang National UniversityJinjuSouth Korea
  3. 3.School of Mathematical SciencesUniversity of Electronic Science and Technology of ChinaChengduPeople’s Republic of China

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