The triples of $(v,u,\phi)$-contraction and $(q,p,\phi)$-contraction in $b$-metric spaces and its application

Journal of Linear and Topological Algebra

دوره 11، شماره 01، خرداد 2022، صفحه 39-46   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.30495/jlta.2022.1951465.1463

نویسندگان

E. L. Ghasab^* ؛ H. Ebadizadeh؛ J. Sharafi

Mathmatics Group‎, ‎Faculty of Basic Sciences‎, ‎Emam Ali University‎, ‎Tehran‎, ‎Iran

چکیده

‎The aim of this work is to introduce the concepts of $(v‎, ‎u‎, ‎\phi)$-contraction and $(q‎, ‎p‎, ‎\phi)$-contraction‎, ‎and to obtain new results in fixed point theory for four mappings in $b$-metric spaces‎. ‎Finally‎, ‎we have developed an example and an application for a system of integral equations that protects the main theorems‎.

کلیدواژه‌ها

$b$-metric space‎؛ ‎$\phi$-function‎؛ ‎$(v؛ u؛ phi)$-contraction‎؛ ‎$(q؛ p؛ phi)$-contraction

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