Facility Location Problem in Pre-Inner Product Spaces

Facility Location Problem in Pre-Inner Product Spaces

Author by Mr. Semiu, Akinpelu Ayinde

Journal/Publisher: 6th International Conference On Mathematical Analysis And Optimization. Theory And Applications

Volume/Edition: 6

Language: English

Pages: 75 - 87

Abstract

In this paper, we define the Fermat-Torricelli problem for the set of n fixed points in metrizable locally convex spaces with the aid of countable collection of continuous seminorms as gauges. The concept of Fermat-Torricelli problem for pre-inner product space H is formulated, with H being the projective limit of sequence of inner product spaces. Similarly, the existence and uniqueness of a minimizer of FermatTorricelli problem in pre-inner product spaces are shown


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