n-tupled Common Fixed Point Theorems via alpha-series in Ordered Metric Spaces

Authors

  • Amit Kumar Department of Mathematics, National Institute of Technology, Hamirpur - 177005, India.
  • Ramesh Kumar Vats
  • Manju Grewal

Keywords:

$\alpha$-series, Compatible mappings, Common fixed point, Ordered metric space

Abstract

The aim of this paper is to establish some results about the existence and uniqueness of $n$-tupled fixed point that extends the previous results, using the concept of an $\alpha$-series for sequence of mappings having mixed monotone property in the framework of ordered complete metric spaces.  The main result is supported with the aid of an illustrative example.

Downloads

Published

2017-02-03

Issue

Vol. 10 No. 2: (January 2017)

Section

Mathematical Analysis

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

n-tupled Common Fixed Point Theorems via alpha-series in Ordered Metric Spaces. (2017). European Journal of Pure and Applied Mathematics, 10(2), 295-311. https://www.ejpam.com/index.php/ejpam/article/view/2691