Geodesic
On Best Proximity Points in Metric and Banach Spaces
Canadian journal of mathematics, Tome 63 (2011) no. 3, pp. 533-550

Voir la notice de l'article provenant de la source Cambridge

DOI

In this paper we study the existence and uniqueness of best proximity points of cyclic contractions as well as the convergence of iterates to such proximity points. We take two different approaches, each one leading to different results that complete, if not improve, other similar results in the theory. Results in this paper stand for Banach spaces, geodesic metric spaces and metric spaces. We also include an appendix on $\text{CAT(0)}$ spaces where we study the particular behavior of these spaces regarding the problems we are concerned with.
DOI : 10.4153/CJM-2011-007-5
Mots-clés : 54H25, 47H09 
Espínola, Rafa; Fernández-León, Aurora. On Best Proximity Points in Metric and Banach Spaces. Canadian journal of mathematics, Tome 63 (2011) no. 3, pp. 533-550. doi: 10.4153/CJM-2011-007-5
@article{10_4153_CJM_2011_007_5,
     author = {Esp{\'\i}nola, Rafa and Fern\'andez-Le\'on, Aurora},
     title = {On {Best} {Proximity} {Points} in {Metric} and {Banach} {Spaces}},
     journal = {Canadian journal of mathematics},
     pages = {533--550},
     year = {2011},
     volume = {63},
     number = {3},
     doi = {10.4153/CJM-2011-007-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-007-5/}
}
TY  - JOUR
AU  - Espínola, Rafa
AU  - Fernández-León, Aurora
TI  - On Best Proximity Points in Metric and Banach Spaces
JO  - Canadian journal of mathematics
PY  - 2011
SP  - 533
EP  - 550
VL  - 63
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-007-5/
DO  - 10.4153/CJM-2011-007-5
ID  - 10_4153_CJM_2011_007_5
ER  - 
%0 Journal Article
%A Espínola, Rafa
%A Fernández-León, Aurora
%T On Best Proximity Points in Metric and Banach Spaces
%J Canadian journal of mathematics
%D 2011
%P 533-550
%V 63
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-007-5/
%R 10.4153/CJM-2011-007-5
%F 10_4153_CJM_2011_007_5

Cité par Sources :