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A Role of Fuzzy Set-Valued Maps in Integral Inclusions | ||
| Caspian Journal of Mathematical Sciences | ||
| مقاله 12، دوره 11، شماره 1، 2022، صفحه 138-160 اصل مقاله (394.07 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2020.19945.1553 | ||
| نویسندگان | ||
| Shehu Shagari Mohammed* ؛ Ibrahim Aliyu Fulatan | ||
| Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Nigeria | ||
| تاریخ دریافت: 15 مهر 1399، تاریخ بازنگری: 27 آبان 1399، تاریخ پذیرش: 29 آبان 1399 | ||
| چکیده | ||
| The aim of this paper is to introduce the concepts of $\alpha$-continuity, $\eta$-admissible pair for fuzzy set-valued maps and define a notion of fuzzy $\eta-(\psi, F)$-contraction. The existence of common fuzzy fixed points for such contraction is investigated in the setting of a complete metric space. The ideas presented herein complement the results of Wardowski, Banach, Heilpern and other results on point-to-point and point-to-set-valued mappings in the comparable literature of metric and fuzzy fixed point theory. A few important of these consequences of our results are highlighted and discussed. Some nontrivial examples and an application to a system of integral inclusions of Fredholm type are considered to support our theorems and to illustrate a usability of the results obtained herein. | ||
| کلیدواژه‌ها | ||
| fuzzy set؛ fuzzy fixed point؛ $F$-contraction؛ $alpha$-continuous؛ $eta$-admissible | ||
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آمار تعداد مشاهده مقاله: 247 تعداد دریافت فایل اصل مقاله: 210 |
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