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Abstract. We prove a best proximity point version of Krasnoselskii's fixed point theorem. As a consequence we obtain the existence of best proximity points of relatively \emph {u-continuous} maps for a pair of compact convex sets.
DOI: 10.14232/actasm-019-018-4
AMS Subject Classification
(1991): 47H09, 47H10; 46B20
Keyword(s):
best proximity point,
metric projection,
property UC
received 18.5.2019, revised 2.12.2019, accepted 10.12.2019. (Registered under 518/2019.)
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