# Variational Inequality in Hilbert Spaces and their Applications

 dc.contributor.author Udeani, Cyril Izuchukwu dc.date.accessioned 2020-01-27T09:40:12Z dc.date.available 2020-01-27T09:40:12Z dc.date.issued 2019-06-23 dc.identifier.uri http://repository.aust.edu.ng/xmlui/handle/123456789/4949 dc.description.abstract The study of variational inequalities frequently deals with a mapping F from a vector 0 space X or a convex subset of X into its dual X . Let H be a real Hilbert space and a(u, v) be a real bilinear form on H. Assume that the linear and continuous 0 mapping A : H −→ H determines a bilinear form via the pairing a(u, v) = hAu, vi.0 Given K ⊂ H and f ∈ H . Then, Variational inequality(VI) is the problem of finding u ∈ K such that a(u, v − u) ≥ hf, v − ui, for all v ∈ K. In this work, we outline some results in theory of variational inequalities. Their relationships with other problems of Nonlinear Analysis and some applications are also discussed. en_US dc.description.sponsorship AUST and AfDB. en_US dc.language.iso en en_US dc.subject Udeani Cyril Izuchukwu en_US dc.subject Prof. Khalil Ezzinbi en_US dc.subject 2019 Pure and Applied Mathematics Theses en_US dc.subject Sobolev spaces en_US dc.subject Variational inequalities en_US dc.subject Hilbert Spaces en_US dc.subject Elliptic variational inequal- ities en_US dc.title Variational Inequality in Hilbert Spaces and their Applications en_US dc.type Thesis en_US
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• #### Pure and Applied Mathematics51

This collection contains master's Theses of Pure and Applied Mathematics from 2009 to 2022.