Artículo
On best proximity points in metric and Banach spaces
Autor/es | Espínola García, Rafael
Fernández León, Aurora |
Departamento | Universidad de Sevilla. Departamento de Didáctica de las Matemáticas |
Fecha de publicación | 2011 |
Fecha de depósito | 2016-07-06 |
Publicado en |
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Resumen | 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 do it from two
different approaches, leading each ... 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 do it from two different approaches, leading each one of them to different results which 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 CAT(0) spaces where we study the particular behavior of these spaces regarding the problems we are concerned with. |
Cita | Espínola García, R. y Fernández León, A. (2011). On best proximity points in metric and Banach spaces. Canadian Journal of Mathematics, 63 (3), 533-550. |
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