Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces | Zendy

Yasunori Kimura | Zendy; Kazuhide Nakajo | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces

Author(s) -

Yasunori Kimura,

Kazuhide Nakajo

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/346517

Subject(s) - mathematics , variational inequality , banach space , differentiable function , norm (philosophy) , kantorovich inequality , convergence (economics) , regular polygon , pure mathematics , mathematical analysis , inequality , linear inequality , geometry , political science , law , economics , economic growth

We consider the variational inequality problem for afamily of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space. We assume some properties for the operators and get strong convergence to a common solution to the variational inequality problem by the hybridmethod proposed by Haugazeau. Using these results, we obtain several resultsfor the variational inequality problem and the proximal point algorithm

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research