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The Journal of Analysis

, Volume 27, Issue 4, pp 1139–1150 | Cite as

Fixed point theorems via comparable mappings in ordered metric spaces

  • Gopi PrasadEmail author
  • Ramesh Chandra Dimri
Original Research Paper
  • 33 Downloads

Abstract

In this paper, we introduce two new types of comparable multivalued mappings and prove a variant of well known classical Mizoguchi and Takahashi fixed point theorem for these mappings in partially ordered metric spaces. The method we use in the proof of our results is technically connected with the proof given by Suzuki (J Math Anal Appl 340:752–755, 2008). We also provide examples to vindicate our claims and usability of the present results.

Keywords

Fixed point Partially ordered set Comparable multivalued mappings 

Mathematics Subject Classification

47H10 54H25 

Notes

Acknowledgements

The authors thank the referees for their careful reading of the manuscript and insightful comments.

Author contributions

All authors contributed equally to the writing of this paper. All authors read and approved the final manuscript.

Compliance with ethical standards

Conflict of interest

All the authors declare that there is no conflict of interests.

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Copyright information

© Forum D'Analystes, Chennai 2019

Authors and Affiliations

  1. 1.Department of MathematicsH.N.B. Garhwal UniversitySrinagar GarhwalIndia

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