Existence and uniqueness of the solutions of some classes of integral equations C*-algebra-valued b-metric spaces
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 meth...
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| Autores principales: | , , , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
University of Defence in Belgrade
2020
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/8b21320200fe43689bd45cc0490deaf6 |
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| Sumario: | 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. |
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