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Multivalued operators, data dependence of fixed points and fractals | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 223، دوره 14، شماره 1، فروردین 2023، صفحه 2843-2858 اصل مقاله (505.79 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25163.2935 | ||
| نویسندگان | ||
| Deepak Kumar* 1، 2؛ Sumit Chandok3 | ||
| 1Department of Mathematics, Lovely Professional University, Phagwara, 144411, India | ||
| 2IKG Punjab Technical University, Kapurthala, 144603, India | ||
| 3School of Mathematics, Thapar Institute of Engineering & Technology (Deemed to be University), Patiala, 147004, India | ||
| تاریخ دریافت: 16 آبان 1400، تاریخ بازنگری: 24 مهر 1401، تاریخ پذیرش: 20 آذر 1401 | ||
| چکیده | ||
| In the present manuscript, we prove some new fixed point results for multivalued mappings in the setting of b-metric space. Also, we obtain some results for the data dependence of fixed points, the directed graph endowed with a b-metric and for the fractals of an iterated multifunction system. The proven results extend and generalize some of the results in the literature. | ||
| کلیدواژهها | ||
| Multivalued mappings؛ Fixed points؛ $b$-metric space | ||
| مراجع | ||
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[1] H. Aydi, M.F. Bota, E. Karapinar and S. Mitrovic, A fixed point theorem for set-valued quasicontractions in b-metric spaces, Fixed Point Theory Appl. 2012 (2012). [13] J. Fisher, Numerical aspects of multivalued fractals, Fixed Point Theory 5 (2004), no. 2, 249–264. | ||
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