Vojnotehnički Glasnik (Oct 2020)

Existence and uniqueness of the solutions of some classes of integral equations C*-algebra-valued b-metric spaces

  • Esad Jakupović,
  • Hashem P. Masiha,
  • Zoran D. Mitrović,
  • Seyede S. Razavi,
  • Reza Saadati

DOI
https://doi.org/10.5937/vojtehg68-28632
Journal volume & issue
Vol. 68, no. 4
pp. 726 – 742

Abstract

Read online

Introduction/purpose: The aim of the paper is to establish some coupled fixed point results in C*-algebra-valued b-metric spaces. Moreover, the obtained results are used to define the sufficient conditions for the existence of the solutions of some classes of integral equations. Methods: The method of coupled fixed points gives the sufficient conditions for the existence of the solution of some classes of integral equations. Results: New results were obtained on coupled fixed points in C * -algebra-valued b-metric space. Conclusion: The obtained results represent a contribution in the fixed point theory and open new possibilities of application in the theory of differential and integral equations.

Keywords