FIXED POINT THEOREMS ON INTUITIONISTIC FUZZY QUASI-METRIC SPACES WITH APPLICATION TO THE DOMAIN OF WORDS

Authors

  • Bhavana Deshpande Govt. P.G. Arts & Science College - Department of Mathematics
  • Rohit Pathak Devi Ahilya Vishwavidyalaya University - Applied Science Department

Keywords:

Intuitionistic fuzzy quasi-metric space, Common fixed point, G-complete intuitionistic fuzzy quasi-metric space, B-contraction, Domain of words

Abstract

In this paper, we prove intuitionistic fuzzy quasi-metric version of the Banach contraction principle which extend the famous Grabiec fixed point theorem.  By using this result we show the existence of fixed point for contraction mappings on the domain of words and apply this approach to deduce the existence of solution for some recurrence equations associated to the analysis of Quicksort algorithms and divide and Conquer algorithms, respectively.

Cover of n°31 Italian Journal of Pure and Applied Mathematics

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Published

2013-12-31

How to Cite

Deshpande, B., & Pathak, R. (2013). FIXED POINT THEOREMS ON INTUITIONISTIC FUZZY QUASI-METRIC SPACES WITH APPLICATION TO THE DOMAIN OF WORDS. Italian Journal of Pure and Applied Mathematics, 31, 343–354. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6126

Issue

N°31 - December 2013

Section

Articoli - Forum Editrice

License

Copyright (c) 2013 Bhavana Deshpande, Rohit Pathak

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)