Regularization of non-monotone multi-valued variational inequalities with applications to partitionable problems
Elisabetta Allevi, Adriana Gnudi, I. V. Konnov · 2006
We consider a general coercivity condition for multi-valued variational inequalities and show that this condition ensures both convergence of the Tikhonov-Browder regularization method and existence of solutions to the initial and perturbed problems. Applications of this approach to parti-tionable multi-valued variational inequalities utilizing extensions of order monotonicity properties are also described. Key words: Multi-valued variational inequalities, regularization method, coercivity conditions, extended order monotonicity. 1