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On fixed points of fundamentally nonexpansive mappings in Banach spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 21، دوره 7، شماره 1، فروردین 2016، صفحه 219-224 اصل مقاله (288.94 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2015.308 | ||
| نویسنده | ||
| Mohammad Moosaei* | ||
| Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran | ||
| تاریخ دریافت: 08 بهمن 1393، تاریخ بازنگری: 17 مرداد 1394، تاریخ پذیرش: 13 شهریور 1394 | ||
| چکیده | ||
| We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and convex, then its the fixed points set is nonempty, closed and convex. | ||
| کلیدواژهها | ||
| Fixed point؛ fundamentally nonexpansive mappings؛ nonexpansive mappings؛ Opial's condition؛ uniformly convex Banach spaces | ||
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