ACTA issues

Best proximity version of Krasnoselskii's fixed point theorem

S. Kar, P. Veeramani

Acta Sci. Math. (Szeged) 86:1-2(2020), 265-271

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.)