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Newton’s method for generalized equations using restricted domains
dc.contributor.author | Argyros, Ioannis K | |
dc.contributor.author | Magreñán, Á. Alberto | |
dc.date | 2017 | |
dc.date.accessioned | 2020-09-07T10:26:32Z | |
dc.date.available | 2020-09-07T10:26:32Z | |
dc.identifier.isbn | 9781315153469 | |
dc.identifier.uri | https://reunir.unir.net/handle/123456789/10516 | |
dc.description | Capítulo del libro "Iterative Methods and Their Dynamics with Applications: A Contemporary Study" | es_ES |
dc.description.abstract | In this chapter we are concerned with the study of the generalized equation F(x)+Q(x) ϶ 0, where F : D → H is a nonlinear Fréchet differentiable defined on the open subset D of the Hilbert space H, and Q : H ⇉ H is set-valued and maximal monotone. Many problems from Applied Sciences can be solved finding the solutions of equations in a form like (12.1) [17-22,27,28,30,39]. If ψ : H → (−∞,+∞] is a strict lower semicontinuous convex function and Q(x) = ∂ψ(x) = {u ∈ H : ψ(y) ≥ ψ(x)+⟨u, y−x⟩}, for all y ∈ H, then (12.1) becomes the variational inequality problem F(x)+∂ψ(x) ϶ 0, including linear and nonlinear complementary problems, additional comments about such problems can be found in [1-32, 36-40]. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Iterative Methods and Their Dynamics with Applications: A Contemporary Study | es_ES |
dc.relation.uri | https://www.taylorfrancis.com/books/e/9781315153469 | es_ES |
dc.rights | restrictedAccess | es_ES |
dc.subject | computer science | es_ES |
dc.subject | mathematics & statistics | es_ES |
dc.subject | Scopus(2) | es_ES |
dc.subject | WOS(2) | es_ES |
dc.title | Newton’s method for generalized equations using restricted domains | es_ES |
dc.type | bookPart | es_ES |
reunir.tag | ~ARI | es_ES |
dc.identifier.doi | https://doi.org/10.1201/9781315153469 |
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