A variational principle and best proximity points

Authors
Ivanov, Milen Zlatanov, Boyan Zlateva, Nadia
Citation
Ivanov, Milen et al., A variational principle and best proximity points, Acta mathematica Sinica. English series (Print) , 31(8), 2015, pp. 1315-1326
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
8
Year of publication
2015
Pages
1315 - 1326
Database
ACNP
SICI code
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.