Generalized multivalued $F$-contractions on non-complete metric spaces

	Generalized multivalued $F$-contractions on non-complete metric spaces
International Journal of Nonlinear Analysis and Applications
مقاله 7، دوره 9، شماره 2، اسفند 2018، صفحه 71-84 اصل مقاله (371.43 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2018.1644.1432
نویسنده
Hamid Baghani^*
Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran
چکیده
In this paper, we explain a new generalized contractive condition for multivalued mappings and prove a fixed point theorem in metric spaces (not necessary complete) which extends some well-known results in the literature. Finally, as an application, we prove that a multivalued function satisfying a general linear functional inclusion admits a unique selection fulfilling the corresponding functional equation.
کلیدواژه‌ها
Fixed point theorem؛ Weakly Picard operator؛ O-complete metric space؛ Selections of multivalued functions
آمار تعداد مشاهده مقاله: 43,609 تعداد دریافت فایل اصل مقاله: 51,532

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