Artículo
The Jordan-von Neumann constants and fixed points for multivalued nonexpansive mappings
Autor/es | Dhompongsa, Sompong
Domínguez Benavides, Tomás ![]() ![]() ![]() ![]() ![]() ![]() ![]() Kaewcharoen, Anchalee Kaewkhao, Annop Panyanak, Bancha |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2006-08-15 |
Fecha de depósito | 2016-09-22 |
Publicado en |
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Resumen | The purpose of this paper is to study the existence of fixed point for nonexpansive multivalued mappings in a particular class of Banach spaces.
Furthermore, we demonstrate a relationship between the weakly convergent
sequence ... The purpose of this paper is to study the existence of fixed point for nonexpansive multivalued mappings in a particular class of Banach spaces. Furthermore, we demonstrate a relationship between the weakly convergent sequence coefficient W CS(X) and the Jordan-von Neumann constant CNJ(X) of a Banach space X. Using this fact, we prove that if CNJ(X) is less than an appropriate positive number, then every multivalued nonexpansive mapping T : E → KC(E) has a fixed point where E is a nonempty weakly compact convex subset of a Banach space X, and KC(E) is the class of all nonempty compact convex subsets of E. |
Identificador del proyecto | BRG4780013
![]() PBMF2003-03893-C02-C01 ![]() FQM-127 ![]() PHD/0250/2545 ![]() PHD/0216/2543 ![]() PHD/0251/2545 ![]() |
Cita | Dhompongsa, S., Domínguez Benavides, T., Kaewcharoen, A., Kaewkhao, A. y Panyanak, B. (2006). The Jordan-von Neumann constants and fixed points for multivalued nonexpansive mappings. Journal of Mathematical Analysis and Applications, 320 (2), 916-927. |
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