- 期刊
Some Results on Fermat-Weber Location Problem in Frechet Spaces
摘要
We capture the Fermat-Weber location problem for Frechet spaces, where the Frechet space is determined by the inverse limit of the projective system of Banach spaces. Countable collections of continuous seminorms on the Frechet space are used as gauges to define the Fermat-Weber location problem. Sufficient conditions on the existence of the set of solutions for the functions are obtained via reflexivity of the space and the Hahn-Banach theorem, while convexity structure is used to establish the uniqueness of the solution. Ouresults extend and generalize the corresponding results available for Banach spaces and others in that direction.
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