Generalized nonlinear variational inequalities

Balwant Singh Thakur, Suja Varghese

In this paper, we consider a generalized nonlinear variational inequality problem involving single valued and multivalued nonlinear operators. We also study criteria of its solvability. Iterative methods for approximate solution are also proposed and a convergence result is established. Further, we study iterative methods for finding common element of fixed point set of nonexpansive mapping and solution set of the proposed variational inequality problem.