C\(^*\)-ALGEBRA-VALUED M -METRIC SPACES AND SOME RELATED FIXED POINT RESULTS

Authors

  • Bahman Moeini Islamic Azad University - Department of Statistics
  • Mehdi Asadi Islamic Azad University - Department of Statistics
  • Hassen Aydi Imam Abdulrahman Bin Faisal University - Department of Mathematics
  • Habes Alsamir University Kebangsaan Malaysia - School of mathematical Sciences
  • Mohd Selmi Noorani University Kebangsaan Malaysia - School of mathematical Sciences

Keywords:

fixed point, C\(^*\)-algebra-valued, M-metric space, C\(_*\)-class function

Abstract

In this paper, the concept of C*-algebra-valued M-metric spaces is initiated, generalizing the M-metric spaces introduced by Asadi et al. [8].  Some fixed point theorems are also established via C*-class functions in such spaces.  Moreover, some illustrative examples are given.  The obtained results generalize and improve some fixed point results in the literature.

Cover of n°41 Italian Journal of Pure and Applied Mathematics

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Published

2019-02-27

How to Cite

Moeini, B., Asadi, M., Aydi, H., Alsamir, H., & Noorani, M. S. (2019). C\(^*\)-ALGEBRA-VALUED M -METRIC SPACES AND SOME RELATED FIXED POINT RESULTS. Italian Journal of Pure and Applied Mathematics, 41, 708–723. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7069

Issue

N°41 - February 2019

Section

Articoli - Forum Editrice

License

Copyright (c) 2019 Bahman Moeini, Mehdi Asadi, Hassen Aydi, Habes Alsamir, Mohd Selmi Noorani

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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