Proximity Point Properties for Admitting Center Maps
نویسندگان
چکیده مقاله:
In this work we investigate a class of admitting center maps on a metric space. We state and prove some fixed point and best proximity point theorems for them. We obtain some results and relevant examples. In particular, we show that if $X$ is a reflexive Banach space with the Opial condition and $T:Crightarrow X$ is a continuous admiting center map, then $T$ has a fixed point in $X.$ Also, we show that in some conditions, the set of all best proximity points is nonempty and compact.
منابع مشابه
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عنوان ژورنال
دوره 15 شماره 1
صفحات 159- 167
تاریخ انتشار 2019-07-01
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