Fixed point theorem for contraction mappings in probabilistic normed spaces

Authors

  • P.K. Harikrishnan Manipal Institute of Technology - Department of Mathematics
  • Bernardo Lafuerza–Guill´en Universidad de Almer´ıa - Departamento de Matem´atica Aplicada y Estad´ıstica
  • Yeol Je Cho Gyeongsang National University - Department of Mathematics Education
  • K.T. Ravindran Kannur University - Gurudev Arts and Science College

Keywords:

Menger’s Probabilistic normed spaces, sequential continuity, fixed point, probabilistic bounded

Abstract

In this paper, the concept of contractive mappings and ϕ−contraction mappings on Menger’s probabilistic normed spaces are defined with suitable examples.  The unique fixed point theorem for contractive mappings and ϕ−contraction mappings are established in Menger’s probabilistic normed spaces.

Cover of n°43 Italian Journal of Pure and Applied Mathematics

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Published

2020-02-14

How to Cite

Harikrishnan, P., Lafuerza–Guill´en, B., Cho, Y. J., & Ravindran, K. (2020). Fixed point theorem for contraction mappings in probabilistic normed spaces. Italian Journal of Pure and Applied Mathematics, 43, 818–827. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7288

Issue

N°43 - February 2020

Section

Articoli - Forum Editrice

License

Copyright (c) 2020 P.K. Harikrishnan, Bernardo Lafuerza–Guill´en, Yeol Je Cho, K.T. Ravindran

Creative Commons License

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

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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