A new approach to the extragradient method for nonlinear variational inequalities

Journal of Inequalities and Applications

关键词: Extragradient method;    g-α;    -cocoercive mapping;    Double projection equation;    Nonlinear quasivariational inequalities;    Iterative algorithms;    Expanding mappings;   

DOI  :  

来源: DOAJ

【 摘 要 】

The approximation-solvability of the following nonlinear variational inequality (NVI) problem is presented:

Determine an element such that where is a mapping from a nonempty closed convex subset of a real Hilbert space into . The iterative procedure is characterized as a nonlinear variational inequality (for any arbitrarily chosen initial point ) which is equivalent to a double projection formula where denotes the projection of onto .

【 授权许可】

Unknown