Pastaje (grazing) del microzooplancton en aguas de las Islas Canarias

[EN]The impact of micrograzers upon primary production was measured north of the Canary Islands during 2010 and 2011 using the dilution technique. Grazing was estimated from chlorophyll a but also taking into account the different phototrophic organisms, that is, Synechococcus (Syn), Prochlorococcus (Pro), autotrophic picoeukaryotes (APE) and autotrophic nanoflagellates (ANF). Some experiments showed significant values of grazing upon Syn, Pro or APE although no significant grazing was measured on chlorophyll a. Furthermore, a positive relationship, this means growth instead of grazing, was observed in Syn and Pro in two experiments. Grazing on heterotrophic prokaryotes was also determined and the obtained values were always highly significant. These results showed that the impact of micrograzers upon primary production is a complex process which involves a different grazing pressure upon phytoplankton groups. Therefore, a detailed analysis of the pico, nano and microplanktonic community is essential to really understand the role of micrograzers and the trophic interactions among these groups in subtropical waters.

A fixed point theorem for Meir-Keeler contractions in ordered metric spaces

[EN] The purpose of this paper is to present some fixed point theorems for Meir-Keeler contractions in a complete metric space endowed with a partial order. MSC: 47H10.

On some Banach space constants arising in nonlinear fixed point and eigenvalue theory

[EN] As is well known, in any infinite-dimensional Banach space one may find fixed point free self-maps of the unit ball, retractions of the unit ball onto its boundary, contractions of the unit sphere, and nonzero maps without positive eigenvalues and normalized eigenvectors. In this paper, we give upper and lower estimates, or even explicit formulas, for the minimal Lipschitz constant and measure of noncompactness of such maps.

Fixed point theorems in partially ordered spaces and aplications

[ES]Recientemente, en la Teoría del punto fijo, han aparecido muchos resultados que obtienen condiciones suficientes para la existencia de un punto fijo si trabajamos con aplicaciones en un conjunto dotado de un orden parcial. Generalmente, estos resultados combinan dos teoremas del punto fijo fundamentales: el Teorema de la contracción de Banach y el Teorema de Knaster-Tarski.