The problems which imply variational inequality over product sets have many applications. Thus, the Nash equilibrium problem for differentiable functions, various equilibrium-type problems, as traffic equilibrium, spatial equilibrium and general equilibrium programming problems from economics, game theory, operations research, mathematical physics, for example, can be modelled as variational in...

Mond-Weir type duals for multiobjective variational problems are formulated. Under generalized vector variational type I invexity assumptions on the functions involved, sufficient optimality conditions, weak and strong duality theorems are proved efficient and properly efficient solutions of the primal and dual problems.

The hybrid steepest-descent method introduced by Yamada 2001 is an algorithmic solution to the variational inequality problem over the fixed point set of nonlinear mapping and applicable to a broad range of convexly constrained nonlinear inverse problems in real Hilbert spaces. Lehdili and Moudafi 1996 introduced the new prox-Tikhonov regularization method for proximal point algorithm to genera...