Fixed points of order preserving contractions

Authors

  • Rekha K P Research Scholar in Mathematics, Hermann Gundert Central Library, Kannur University, Kerala-670002, India
  • Shiju George Department of Mathematics, KMM Government Women’s College, Kannur, Kerala-670004, India Corresponding Author

DOI:

https://doi.org/10.66147/lnaa.20253361

Keywords:

Contraction, Order preserving map, Fixed point property

Abstract

In this paper, we analyze fixed points of order preserving contractions on ordered metric spaces. Fixed point property of such maps is characterized for bounded convex subsets of the Euclidean plane.

Author Biographies

  • Rekha K P, Research Scholar in Mathematics, Hermann Gundert Central Library, Kannur University, Kerala-670002, India

    Research Scholar in Mathematics, Hermann Gundert Central Library, Kannur University, Kerala-670002, India

  • Shiju George, Department of Mathematics, KMM Government Women’s College, Kannur, Kerala-670004, India

    Department of Mathematics, KMM Government Women’s College, Kannur, Kerala-670004, India 

References

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Published

2025-08-26

Issue

3 (2025) No. 3

Section

Articles

License

Copyright (c) 2025 Rekha K P; Shiju George (Corresponding Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Fixed points of order preserving contractions. (2025). Letters in Nonlinear Analysis and Its Applications, 3(3), 168-177. https://doi.org/10.66147/lnaa.20253361