Article
Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity
Author/s | Espínola García, Rafael
Fernández León, Aurora Piatek, Bozena |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2010 |
Deposit Date | 2016-07-22 |
Published in |
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Abstract | We study the existence of fixed points and convergence of iterates for asymptotic pointwise contractions in uniformly convex metric spaces. We also study the existence of fixed points for setvalued nonexpansive mappings ... We study the existence of fixed points and convergence of iterates for asymptotic pointwise contractions in uniformly convex metric spaces. We also study the existence of fixed points for setvalued nonexpansive mappings in the same class of spaces. Our results do not assume convexity of the metric which makes a big difference when studying the existence of fixed points for set-valued mappings. |
Funding agencies | Ministerio de Ciencia y Tecnología (MCYT). España Junta de Andalucía |
Project ID. | BFM 2000-0344-CO2-01
FQM-127 |
Citation | Espínola García, R., Fernández León, A. y Piatek, B. (2010). Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity. Fixed Point Theory and Applications, 2010, 1-16. |
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