<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2d1 20170631//EN" "JATS-journalpublishing1.dtd"> <ArticleSet> <Article> <Journal> <PublisherName>ijesm</PublisherName> <JournalTitle>International Journal of Engineering, Science and</JournalTitle> <PISSN>I</PISSN> <EISSN>S</EISSN> <Volume-Issue>Volume 2, Issue 1</Volume-Issue> <PartNumber/> <IssueTopic>Multidisciplinary</IssueTopic> <IssueLanguage>English</IssueLanguage> <Season>March 2013</Season> <SpecialIssue>N</SpecialIssue> <SupplementaryIssue>N</SupplementaryIssue> <IssueOA>Y</IssueOA> <PubDate> <Year>2013</Year> <Month>01</Month> <Day>3</Day> </PubDate> <ArticleType>Engineering, Science and Mathematics</ArticleType> <ArticleTitle>ON THE CATEGORY OF ORDERED TOPOLOGICAL MODULES OPTIMIZATION AND LAGRANGE__ampersandsignrsquo;S PRINCIPLE</ArticleTitle> <SubTitle/> <ArticleLanguage>English</ArticleLanguage> <ArticleOA>Y</ArticleOA> <FirstPage>140</FirstPage> <LastPage>149</LastPage> <AuthorList> <Author> <FirstName>P.A. Otieno? K.C. Sogomo* M.N.</FirstName> <LastName>Gichuki*</LastName> <AuthorLanguage>English</AuthorLanguage> <Affiliation/> <CorrespondingAuthor>N</CorrespondingAuthor> <ORCID/> </Author> </AuthorList> <DOI/> <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__ampersandsignrsquo;s principle to obtain optimization results in the category</Abstract> <AbstractLanguage>English</AbstractLanguage> <Keywords/> <URLs> <Abstract>https://ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=2882&title=ON THE CATEGORY OF ORDERED TOPOLOGICAL MODULES OPTIMIZATION AND LAGRANGE__ampersandsignrsquo;S PRINCIPLE</Abstract> </URLs> <References> <ReferencesarticleTitle>References</ReferencesarticleTitle> <ReferencesfirstPage>16</ReferencesfirstPage> <ReferenceslastPage>19</ReferenceslastPage> <References/> </References> </Journal> </Article> </ArticleSet>