Computational and Applied Mathematics

, Volume 33, Issue 3, pp 671–685 | Cite as

Quadrupled fixed point results in abstract metric spaces

  • Hamidreza Rahimi
  • Stojan Radenovic
  • Ghasem Soleimani Rad
  • Poom Kumam
Article
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Abstract

In this paper we consider some new definitions about quadrupled fixed point in abstract metric spaces and obtain some new fixed point results in this field. These results unify, extend and generalize well-known comparable results in the existing literature. We also provide some examples and applications to support our results.

Keywords

Abstract metric space Quadrupled fixed point T-contraction  Quadrupled coincidence point Common quadrupled fixed point W-compatible mapping 

Mathematics Subject Classification (2000)

47H10 54H25 46J10 34A34 
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Notes

Acknowledgments

The authors are grateful to the associate editor and two referees for their accurate reading and their helpful suggestions. Also, the first and the third authors would like to thank the Young Researchers and Elite club, Central Tehran Branch of Islamic Azad University, for financial support.

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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2013

Authors and Affiliations

  • Hamidreza Rahimi
    • 1
  • Stojan Radenovic
    • 2
  • Ghasem Soleimani Rad
    • 1
    • 3
  • Poom Kumam
    • 4
  1. 1.Department of Mathematics, Faculty of Science, Central Tehran BranchIslamic Azad UniversityTehranIran
  2. 2.Faculty of Mechanical EngineeringUniversity of BelgradeBeogradSerbia
  3. 3.Young Researchers and Elite club, Central Tehran BranchIslamic Azad UniversityTehranIran
  4. 4.Department of Mathematics, Faculty of ScienceKing Mongkut’s University of Technology Thonburi (KMUTT)Bangkok Thailand

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