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Some fixed point theorems for $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 20، دوره 12، شماره 1، مرداد 2021، صفحه 245-260 اصل مقاله (460.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4776 | ||
| نویسندگان | ||
| Farzaneh Lotfy1؛ Jalal Hassanzadeh Asl* 2؛ Hassan Refaghat1 | ||
| 1Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, Iran | ||
| 2Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, Iran | ||
| تاریخ دریافت: 16 فروردین 1399، تاریخ بازنگری: 22 آبان 1399، تاریخ پذیرش: 13 دی 1399 | ||
| چکیده | ||
| Recently Hamed H Alsulami et al introduced the notion of ($\alpha$-$\psi$)-rational type contractive mappings. They have been establish some fixed point theorems for the mappings in complete generalized metric spaces. In this paper, we introduce the notion of some fixed points theorems for $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations and give a common fixed point result about fixed points of the set-valued mappings. | ||
| کلیدواژه‌ها | ||
| Fixed points؛ $\alpha_{*}$-common admissible؛ $\alpha_{*}$-$psi$-common rational type contractive؛ Partially ordered set؛ Generalized metric spaces؛ Weakly increasing؛ Fractional integral equations | ||
| مراجع | ||
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