General approximation solvability of a system of strongly g-r-pseudomonotonic nonlinear variational inequalities and projection methods
Let K be nonempty closed convex subsets of a real Hilbert space H. Approximation solvability of a generalized system of nonlinear strongly g-r-pseudomonotonic variational inequality (SNVI) problems based on the convergence of projection methods is presented as follows: find elements x*, y* is an element of K (and hence g(x*), g(y*) is an element of K) such that   >= 0, for all g(x) is an element of K and for rho > 0,   >= 0, for all g(x) is an element of K and for eta > 0, where T : K -> H and g : K -> K are nonlinear mappings. (c) 2005 Elsevier Ltd. All rights reserved.
approximation solvability projection methods strongly g-r-pseudomonotonic mappings system of nonlinear variational inequalities