INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - Volume 2, Issue 1, March 2013

Pages: 140-149

Date of Publication: 03-Jan-2013

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ON THE CATEGORY OF ORDERED TOPOLOGICAL MODULES OPTIMIZATION AND LAGRANGE’S PRINCIPLE

Author: P.A. Otieno? K.C. Sogomo* M.N. Gichuki*

Category: Engineering, Science and Mathematics

Abstract:

A category is an algebraic structure made up of a collection of objects linked together by morphisms. As a foundation of mathematics, categories were created as a way of relating algebraic structures and systems of topological spaces In this paper we define a derivative using cones in the category of topological modules and use the Lagrange’s principle to obtain optimization results in the category