Una aplicación de las funciones débilmente
contractivas a problemas de valor en la
frontera de funciones con valores en intervalos

VLADIMIR ANGULO-CASTILLO*

Universidad Industrial de Santander, Escuela de Matemáticas, Bucaramanga, Colombia.

Resumen. Se estudia la existencia y unicidad de soluciones para problemas de valor en la frontera asociadas a ecuaciones diferenciales de funciones con valores en intervalos, usando la derivada de Hukuhara y algunos teoremas de punto fijo de funciones débilmente contractivas definidas en conjuntos parcialmente ordenados.

Palabras claves: Funciones contractivas, funciones con valores en intervalos, diferenciabilidad de funciones con valores en intervalos, ecuaciones diferenciales de funciones con valores en intervalos.
MSC2010: 47H09, 26E25, 34L30.

An application of weakly contractive mappings to
boundary value problems of interval-valued functions

Abstract. We study the existence and uniqueness of solutions for boundary value problems associated to differential equations of interval-valued functions, by using the derivative of Hukuhara and some fixed point theorems for weakly contractive mappings defined on partially ordered sets.

Keywords: Contractive functions, interval-valued functions, differentiability interval-valued functions, differential equations interval-valued.

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