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<ArticleSet>
  <Article>
    <Journal>
      <PublisherName>Science and Education Publishing</PublisherName>
      <JournalTitle>American Journal of Applied Mathematics and Statistics</JournalTitle>
      <Issn>2333-4576</Issn>
      <Volume>2</Volume>
      <Issue>4</Issue>
      <PubDate PubStatus="epublish">
        <Year>2014</Year>
        <Month>06</Month>
        <Day>30</Day>
      </PubDate>
    </Journal>
    <ArticleTitle>Generalized Duality for a Nondifferentiable Control Problem</ArticleTitle>
    <FirstPage>193</FirstPage>
    <LastPage>202</LastPage>
    <Language>EN</Language>
    <AuthorList>
      <Author>
        <FirstName>I.</FirstName>
        <LastName>Husain</LastName>
        <Affiliation>Department of Mathematics, Jaypee University of Engineering and Technology, Guna, India</Affiliation>
      </Author>
      <Author>
        <FirstName>Vikas K.</FirstName>
        <LastName>Jain</LastName>
      </Author>
      <Author>
        <FirstName>Abdul Raoof</FirstName>
        <LastName>Shah</LastName>
      </Author>
    </AuthorList>
    <ArticleIdList>
      <ArticleId IdType="pii">AJAMS2014243</ArticleId>
      <ArticleId IdType="doi">10.12691/ajams-2-4-3</ArticleId>
    </ArticleIdList>
    <History>
      <PubDate PubStatus="received">
        <Year>2014</Year>
        <Month>03</Month>
        <Day>13</Day>
      </PubDate>
      <PubDate PubStatus="revised">
        <Year>2014</Year>
        <Month>05</Month>
        <Day>20</Day>
      </PubDate>
      <PubDate PubStatus="accepted">
        <Year>2014</Year>
        <Month>06</Month>
        <Day>30</Day>
      </PubDate>
    </History>
    <Abstract>A generalized dual to a control problem containing support functions is formulated and various duality theorems are established under generalized convexity hypotheses. This dual model represents the combination of Wolfe and Mond-Weir type dual models to the control problem and hence it is described as a generalized dual. Some special cases are obtained. A close relationship of duality results with those of the nonlinear programming problems involving support functions is indicated.</Abstract>
  </Article>
</ArticleSet>