New common fixed point theorems for contractive self mappings and an application to nonlinear differential equations

	New common fixed point theorems for contractive self mappings and an application to nonlinear differential equations
International Journal of Nonlinear Analysis and Applications
مقاله 73، دوره 12، شماره 1، مرداد 2021، صفحه 903-911 اصل مقاله (348.12 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21318.2245
نویسندگان
Youssef Touail^* ؛ Driss El Moutawakil
Equipe de Recherche en Mathematiques Appliquees, Technologies de l’Information et de la Communication Faculte Polydisciplinare de Khouribga, Universite Sultan Moulay Slimane de Beni-Mellal, Morocco
چکیده
In this paper, we prove a new common fixed point in a general topological space with a $\tau-$distance. Then we deduce two common fixed point theorems for two new classes of contractive selfmappings in complete bounded metric spaces. Moreover, an application to a system of differential equations is given.
کلیدواژه‌ها
Common fixed point؛ Shrinking maps؛ $E_theta$-Weakly contractive maps؛ Metric space؛ Hausdorff topological space
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