On fixed points of fundamentally nonexpansive mappings in Banach spaces
نویسنده
چکیده مقاله:
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.
منابع مشابه
on fixed points of fundamentally nonexpansive mappings in banach spaces
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عنوان ژورنال
دوره 7 شماره 1
صفحات 219- 224
تاریخ انتشار 2016-03-05
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