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Convex sets in Banach spaces and a problem of Rolewicz

A. GraneroM. Jiménez SevillaJ. Moreno — 1998

Studia Mathematica

Let B x be the set of all closed, convex and bounded subsets of a Banach space X equipped with the Hausdorff metric. In the first part of this work we study the density character of B x and investigate its connections with the geometry of the space, in particular with a property shared by the spaces of Shelah and Kunen. In the second part we are concerned with the problem of Rolewicz, namely the existence of support sets, for the case of spaces C(K).

On location problems on fuzzy graphs.

José A. Moreno PérezJ. Marcos Moreno-VegaJosé Luis Verdegay — 2001

Mathware and Soft Computing

Location problems concern a wide set of fields where it is usually assumed that exact data are known. However, in real applications, the location of the facility considered can be full of linguistic vagueness, that can be appropriately modeled using networks with fuzzy values. In that way arise Fuzzy Location Problems; this paper deals with their general formulation and the description solution methods. Namely we show the variety of problems that can be considered in this context and, for some of...

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