Best proximity version of Krasnoselskii’s fixed point theorem

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 u-continuous maps for a pair of compact convex sets.

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Bibliographic Details
Main Authors: Kar S.
Veeramani P.
Format: Article
Published: 2020
Series:Acta scientiarum mathematicarum
Kulcsszavak:Matematika
Subjects:
doi:10.14232/actasm-019-018-4

Online Access:http://acta.bibl.u-szeged.hu/69371
Description
Summary: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 u-continuous maps for a pair of compact convex sets.
Physical Description:265-271
ISSN:2064-8316