Aequationes mathematicae

, Volume 93, Issue 6, pp 1231–1244 | Cite as

Extensions of Kannan contraction via w-distances

  • Hossein Lakzian
  • Vladimir RakočevićEmail author
  • Hassen Aydi


In this paper, we introduce and study some fixed point results for \(\phi \)-Kannan contractions in metric spaces with w-distance. Among other things, we have recovered Suzuki’s (Yokohama Math 44:61–72, 1997) results for p-Kannan contractions. Some examples and consequences are also presented to illustrate our results.


Fixed point w-Distance Approximating fixed point sequence Kannan type contraction 

Mathematics Subject Classification

47H10 47H09 54H25 



The authors are thankful to the anonymous referees for the useful suggestions and remarks that contributed to the improvement of the manuscript.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Hossein Lakzian
    • 1
  • Vladimir Rakočević
    • 2
    Email author
  • Hassen Aydi
    • 3
  1. 1.Department of MathematicsPayame Noor UniversityTehranIslamic Republic of Iran
  2. 2.Faculty of Sciences and MathematicsUniversity of NisNišSerbia
  3. 3.Department of Mathematics, College of Education in JubailImam Abdulrahman Bin Faisal UniversityIndustrial JubailSaudi Arabia

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