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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Um teorema de sobrejetividade para Operadores Monótonos Maximais

Brasil, Ezequiel dos Santos 11 August 2016 (has links)
Submitted by Divisão de Documentação/BC Biblioteca Central (ddbc@ufam.edu.br) on 2017-03-17T11:58:12Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Dissertação - Ezequiel S. brasil.pdf: 2338335 bytes, checksum: 9df0883113cd1d2038403d8a80f42f69 (MD5) / Approved for entry into archive by Divisão de Documentação/BC Biblioteca Central (ddbc@ufam.edu.br) on 2017-03-17T11:58:28Z (GMT) No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Dissertação - Ezequiel S. brasil.pdf: 2338335 bytes, checksum: 9df0883113cd1d2038403d8a80f42f69 (MD5) / Approved for entry into archive by Divisão de Documentação/BC Biblioteca Central (ddbc@ufam.edu.br) on 2017-03-17T11:58:45Z (GMT) No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Dissertação - Ezequiel S. brasil.pdf: 2338335 bytes, checksum: 9df0883113cd1d2038403d8a80f42f69 (MD5) / Made available in DSpace on 2017-03-17T11:58:45Z (GMT). No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Dissertação - Ezequiel S. brasil.pdf: 2338335 bytes, checksum: 9df0883113cd1d2038403d8a80f42f69 (MD5) Previous issue date: 2016-08-11 / In this work, was developed a Surjectivity theorem for maximal monotone operators based on the properties of Fitzpatrick function, as well as the applications arising due to this Theorem. Was also discussed the de nition of the function Fitzpatrick, whose properties have been evidenced, specially, through examples. Continuing, was proved a theorem which guarantees the maximality of the subdiferencial of a lower semi-continuous proper convex function. Above all, were discussed some elements of convex analysis and mainly of the conjugacy theory in convex analysis that supported the results presented in this work. / Neste trabalho, foi desenvolvido um Teorema de Sobrejetividade para operadores monótonos maximais baseado nas propriedades da função Fitzpatrick, bem como as aplicações decorrentes do respectivo Teorema. Também foi abordada a de nição da função Fitzpatrick, cujas propriedades foram evidenciadas, especialmente, por meio de exemplos. Continuando, foi provado um teorema que garante a maximalidade do subdiferencial de uma função convexa, própria e semicontínua inferiormente. Sobretudo, foram abordados alguns elementos da análise convexa e, principalmente, da teoria de conjugação na análise convexa que fundamentaram os resultados apresentados neste trabalho.

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