Abstract

Kaleva (1987) studied the measurability and integrability for the fuzzy set-valued mappings of a real variable whose values are in the fuzzy number space ( E n , D). In this paper, by using the embedding theorem of Kaleva (1990) on ( E n , D), the Darbo fixed-points theorem in the convex cone C[ I, E n ] (where I denotes a bounded closed interval) is given. Further, the criteria for the existence and comparison of solutions to the Volterra fuzzy integral equation in ( E n , D) are established under the compactness-type conditions.

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