caa a22 4500 605461953 CHVBK 20210128100245.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10114-015-4538-4 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4538-4 A variational principle and best proximity points [Elektronische Daten] [Milen Ivanov, Boyan Zlatanov, Nadia Zlateva] 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. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Fixed point nationallicence cyclical operator nationallicence best proximity point nationallicence uniformly convex Banach space nationallicence variational principle nationallicence Ivanov Milen Faculty of Mathematics and Informatics, Sofia University "St. Kliment Ohridski”, 5, James Bourchier blvd., 1164, Sofia, Bulgaria aut Zlatanov Boyan Faculty of Mathematics and Informatics, Plovdiv University "Paisii Hilendarski”, 24 "Tsar Assen” str., 4000, Plovdiv, Bulgaria aut Zlateva Nadia Faculty of Mathematics and Informatics, Sofia University "St. Kliment Ohridski”, 5, James Bourchier blvd., 1164, Sofia, Bulgaria aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/8(2015-08-01), 1315-1326 1439-8516 31:8<1315 2015 31 10114 https://doi.org/10.1007/s10114-015-4538-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4538-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ivanov Milen Faculty of Mathematics and Informatics, Sofia University "St. Kliment Ohridski”, 5, James Bourchier blvd., 1164, Sofia, Bulgaria aut NATIONALLICENCE 700 1- Zlatanov Boyan Faculty of Mathematics and Informatics, Plovdiv University "Paisii Hilendarski”, 24 "Tsar Assen” str., 4000, Plovdiv, Bulgaria aut NATIONALLICENCE 700 1- Zlateva Nadia Faculty of Mathematics and Informatics, Sofia University "St. Kliment Ohridski”, 5, James Bourchier blvd., 1164, Sofia, Bulgaria aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/8(2015-08-01), 1315-1326 1439-8516 31:8<1315 2015 31 10114