A variational principle and best proximity points

Verfasser / Beitragende:
[Milen Ivanov, Boyan Zlatanov, Nadia Zlateva]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/8(2015-08-01), 1315-1326
Format:
Artikel (online)
ID: 605461953
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024 7 0 |a 10.1007/s10114-015-4538-4  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4538-4 
245 0 2 |a A variational principle and best proximity points  |h [Elektronische Daten]  |c [Milen Ivanov, Boyan Zlatanov, Nadia Zlateva] 
520 3 |a 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. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Fixed point  |2 nationallicence 
690 7 |a cyclical operator  |2 nationallicence 
690 7 |a best proximity point  |2 nationallicence 
690 7 |a uniformly convex Banach space  |2 nationallicence 
690 7 |a variational principle  |2 nationallicence 
700 1 |a Ivanov  |D Milen  |u Faculty of Mathematics and Informatics, Sofia University "St. Kliment Ohridski”, 5, James Bourchier blvd., 1164, Sofia, Bulgaria  |4 aut 
700 1 |a Zlatanov  |D Boyan  |u Faculty of Mathematics and Informatics, Plovdiv University "Paisii Hilendarski”, 24 "Tsar Assen” str., 4000, Plovdiv, Bulgaria  |4 aut 
700 1 |a Zlateva  |D Nadia  |u Faculty of Mathematics and Informatics, Sofia University "St. Kliment Ohridski”, 5, James Bourchier blvd., 1164, Sofia, Bulgaria  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/8(2015-08-01), 1315-1326  |x 1439-8516  |q 31:8<1315  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4538-4  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4538-4  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Ivanov  |D Milen  |u Faculty of Mathematics and Informatics, Sofia University "St. Kliment Ohridski”, 5, James Bourchier blvd., 1164, Sofia, Bulgaria  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zlatanov  |D Boyan  |u Faculty of Mathematics and Informatics, Plovdiv University "Paisii Hilendarski”, 24 "Tsar Assen” str., 4000, Plovdiv, Bulgaria  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zlateva  |D Nadia  |u Faculty of Mathematics and Informatics, Sofia University "St. Kliment Ohridski”, 5, James Bourchier blvd., 1164, Sofia, Bulgaria  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/8(2015-08-01), 1315-1326  |x 1439-8516  |q 31:8<1315  |1 2015  |2 31  |o 10114