Article
A fixed point theorem for weakly Zamfirescu mappings
Author/s | Ariza Ruiz, David
Jiménez Melado, Antonio López Acedo, Genaro |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2011-03-01 |
Deposit Date | 2016-06-22 |
Published in |
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Abstract | In [13] T. Zamfirescu, Fixed point theorems in metric spaces, Arch. Math. 23
(1972), 292–298. Zamfirescu gave a fixed point theorem that generalizes the classical fixed point theorems by Banach, Kannan and Chatterjea. In ... In [13] T. Zamfirescu, Fixed point theorems in metric spaces, Arch. Math. 23 (1972), 292–298. Zamfirescu gave a fixed point theorem that generalizes the classical fixed point theorems by Banach, Kannan and Chatterjea. In this paper, we follow the ideas of Dugundji and Granas to extend Zamfirescu’s fixed point theorem to the class of weakly Zamfirescu maps. A continuation method for this class of maps is also given. |
Funding agencies | Junta de Andalucía Dirección General de Enseñanza Superior. España |
Project ID. | FQM-3543
MTM2007-60854 FQM-210 FQM-1504 MTM2009-13997-C02-01 FQM-127 |
Citation | Ariza Ruiz, D., Jiménez Melado, A. y López Acedo, G. (2011). A fixed point theorem for weakly Zamfirescu mappings. Nonlinear Analysis: Theory, Methods & Applications, 74 (5), 1628-1640. |
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