Doi: http://dx.doi.org/10.15446/recolma.v48n2.54126
1Karlsruhe Institute of Technology, Karlsruhe, Germany. Email: gerd.herzog2@kit.edu
We give a condition so that certain mixed monotone mappings on function spaces have a contractive multiplicative relaxation with respect to Thompson's metric. The corresponding fixed point theorem can be applied to special types of integral equations, for example.
Key words: Thompson metric, Mixed monotone mappings, Fixed points, Contraction, Relaxation.
Damos una condición para que ciertas aplicaciones monótonas mixtas sobre espacios de funciones tengan una relajación multiplicativa con respecto a las métricas de Thompson. El correspondiente teorema de punto fijo puede ser aplicado a tipos especiales de ecuaciones integrales, por ejemplo.
Palabras clave: Metrica de Thompson, aplicación mixta monotona, puntos fijos, contracción, relajación.
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References
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv48n2a05,
AUTHOR = {Herzog, Gerd},
TITLE = {{Multiplicative Relaxation with respect to Thompson's Metric}}, ]]>
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2014},
volume = {48},
number = {2},
pages = {211--217}
}