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Some Coincidence and Common Fixed-Point Results on Cone b2-Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations

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Publicado en:Journal of Function Spaces vol. 2021 (2021)
Autor principal: Islam, Ziaul
Otros Autores: Sarwar, Muhammad, Filali, Doaa, Jarad, Fahd
Publicado:
John Wiley & Sons, Inc.
Materias:
Banach spaces
Algebra
Metric space
Mathematical analysis
Integral equations
Fixed points (mathematics)
Acceso en línea:Citation/Abstract
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Resumen:In this article, common fixed-point theorems for self-mappings under different types of generalized contractions in the context of the cone <inline-formula>b2</inline-formula>-metric space over the Banach algebra are discussed. The existence results obtained strengthen the ones mentioned previously in the literature. An example and an application to the infinite system of integral equations are also presented to validate the main results.
ISSN:2314-8896
2314-8888
0972-6802
1758-4965
DOI:10.1155/2021/9991117
Fuente:Engineering Database