Common Fixed Point Theorems in 2-Metric Spaces Using Composition of Mappings via A-Contractions

  • J. Suresh Goud
  • P. Rama Bhadra Murthy
  • Ch. Achi Reddy
  • K. Madhusudhan ReddyEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)


The paper contains two common fixed point theorems using composition of self-mappings via the notion of A-contractions. The first theorem deals with the common fixed points of three self-maps via A-contractions where the contractive condition depends on the composition of self-maps. Then we proved a common fixed point theorem for an arbitrary set of self-maps. Examples are presented to show the significance of our results.


A-contractions Common fixed points Arbitrary set of self-maps 

MSC Subject Classification:

47H10 54H25 


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • J. Suresh Goud
    • 1
  • P. Rama Bhadra Murthy
    • 2
  • Ch. Achi Reddy
    • 3
  • K. Madhusudhan Reddy
    • 4
    Email author
  1. 1.Department of MathematicsInstitute of Aeronautical EngineeringHyderabadIndia
  2. 2.Department of MathematicsOsmania UniversityHyderabadIndia
  3. 3.Department of MathematicsMLR Institute of TechnologyHyderabadIndia
  4. 4.Department of MathematicsVellore Institute of TechnologyVelloreIndia

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