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You searched for +publisher:"Universidade Federal do Amazonas" +contributor:("Salvatierra J?nior, M?rio"). One record found.

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1. Tavares, Wanessa Ferreira. Monotonicidade maximal de bifun??es.

Degree: 2019, Universidade Federal do Amazonas

Nesta disserta??o, estudamos as rela??es entre Operadores Mon?tonos Maximais e Bifun??es Mon?tonas Maximais estabelecida pelos autores Nicolas Hadjisavvas, Fl?via Morgana O. Jacinto e Juan Enrique Mart?nez-Legaz. Al?m disso, tamb?m estabelecemos a rela??o entre as bifun??es e operadores via o novo conceito de monotonicidade maximal para bifun??es denominado Monotonicidade Maximal Pontual(BMMP). Tamb?m foi abordada a defini??o da fun??o Fitzpatrick associada a um operador, cujas propriedades foram evidenciadas, por meio de exemplos, e que motivou a defini??o e o estudo da Transformada de Fitzpatrick para uma bifun??o. Finalizamos o trabalho estabelecendo que a Transformada de Fitzpatrick de uma bifun??o coincide com a fun??o Fitzpatrick de um operador quando ambos s?o definidos convenientemente satisfazendo propriedades especiais. Vale ressaltar que foram abordados alguns elementos da an?lise convexa e da teoria de conjuga??o que fundamentaram os resultados apresentados neste trabalho.

In this dissertation, we study the relationships between Maximally Monotone Operators and Maximally Monotone Bifunctions established by the authors Nicholas Hadjisavvas, Fl?via Morgana O. Jacinto and Juan Enrique Mart?nez-Legaz. In addition, we also established the relationship between bifunctions and operators via the new concept of maximally monotonicity for bifunctions called Pointwise Maximally Monotonicity (PMMB). It was also addressed the definition of Fitzpatrick function associated with an operator, whose properties were presented, in the form of examples, wich motivated the definition and study of the Fitzpatrick Transform for a bifunction. We conclude by establishing that the Fitzpatrick Transform of a Bifunction coincides with the Fitzpatrick function of an operator when both are conveniently defined satisfying special properties. It should be noted that we adressed some elements of convex analysis and of the theory of conjugation to substantiate the results presented in this work.

FAPEAM - Funda??o de Amparo ? Pesquisa do Estado do Amazonas

Nesta disserta??o s?o encontrados exemplos de Bifun??es Mon?tonas Maximais resolvidos na ?ntegra, n?o s?o encontrados em outras literaturas.

Advisors/Committee Members: Jacinto, Fl?via Morgana de Oliveira, 33536341268, http://lattes.cnpq.br/2400760296636580, Salvatierra J?nior, M?rio, http://lattes.cnpq.br/7254679644374259, Silva, Roberto Crist?v?o Mesquita, http://lattes.cnpq.br/8634157590248613, [email protected].

Subjects/Keywords: Fun??es convexas; Operadores mon?tonos; CI?NCIAS EXATAS E DA TERRA: MATEM?TICA; Bifun??es mon?tonas maximais; Operadores mon?tonos maximais; Fun??o Fitzpatrick; Transformada de Fitzpatrick

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APA (6th Edition):

Tavares, W. F. (2019). Monotonicidade maximal de bifun??es. (Masters Thesis). Universidade Federal do Amazonas. Retrieved from https://tede.ufam.edu.br/handle/tede/7445

Chicago Manual of Style (16th Edition):

Tavares, Wanessa Ferreira. “Monotonicidade maximal de bifun??es.” 2019. Masters Thesis, Universidade Federal do Amazonas. Accessed March 06, 2021. https://tede.ufam.edu.br/handle/tede/7445.

MLA Handbook (7th Edition):

Tavares, Wanessa Ferreira. “Monotonicidade maximal de bifun??es.” 2019. Web. 06 Mar 2021.

Vancouver:

Tavares WF. Monotonicidade maximal de bifun??es. [Internet] [Masters thesis]. Universidade Federal do Amazonas; 2019. [cited 2021 Mar 06]. Available from: https://tede.ufam.edu.br/handle/tede/7445.

Council of Science Editors:

Tavares WF. Monotonicidade maximal de bifun??es. [Masters Thesis]. Universidade Federal do Amazonas; 2019. Available from: https://tede.ufam.edu.br/handle/tede/7445

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