Applications and theorem on common fixed point in complex valued b-metric space
| Autor: | Abdelkrim Aliouche, Khaled Berrah, Taki eddine Oussaeif |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
integral equations
Pure mathematics business.industry lcsh:Mathematics General Mathematics Linear system complex valued b-metric space Complex valued Usability common fixed point weakly compatible mapping lcsh:QA1-939 Integral equation compatible mapping Metric space linear system Uniqueness business Contraction (operator theory) Linear equation Mathematics |
| Zdroj: | AIMS Mathematics, Vol 4, Iss 3, Pp 1019-1033 (2019) |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/math.2019.3.1019 |
| Popis: | In this paper, a common fixed point theorem for four self-mappings satisfying rational contraction has been proved in complex valued b-metric space. Then, examples are provided to verify the effectiveness and usability of our main results. Finally, we validate our results by proving both the existence and the uniqueness of a common solution of the system of Urysohn integral equations and the existence of a unique solution for linear equations system. |
| Databáze: | OpenAIRE |
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