CUBO A Mathematical Journal Vol.12, N°03, (71–81). October 2010

L -Random and Fuzzy Normed Spaces and Classical Theory

DONAL O’REGAN AND REZA SAADATI

Department of Mathematics, National University of Ireland, Galway, Ireland email: donal.oregan@nuigalway.ie

Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran email: rsaadati@eml.cc

ABSTRACT

In this paper we study L-random and L-fuzzy normed spaces and prove open mapping and closed graph theorems for these spaces.

Key words and phrases: L-random normed space, L-fuzzy normed space, completeness, quotient space, open mapping and closed graph.

RESUMEN

En este artículo estudiamos espacios normados L-random and L-fuzzy. Probamos el teorema de la aplicación abierta y el teorema del gráfico cerrado.

Math. Subj. Class.: PLEASE INFORM.

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