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A variational principle and best proximity points.

Authors :
Ivanov, Milen
Zlatanov, Boyan
Zlateva, Nadia
Source :
Acta Mathematica Sinica. Aug2015, Vol. 31 Issue 8, p1315-1326. 12p.
Publication Year :
2015

Abstract

We generalize Ekeland's Variational Principle for cyclic maps. We present applications of this version of the variational principle for proving of existence and uniqueness of best proximity points for different classes of cyclic maps. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14398516
Volume :
31
Issue :
8
Database :
Academic Search Index
Journal :
Acta Mathematica Sinica
Publication Type :
Academic Journal
Accession number :
103708206
Full Text :
https://doi.org/10.1007/s10114-015-4538-4