Regularized mixed quasi equilibrium problems
- 54 Downloads
In this paper, we introduce and study a new class of equilibrium problems, known as regularized mixed quasi equilibrium problems. We use the auxiliary principle technique to suggest and analyze some iterative schemes for regularized equilibrium problems. We prove that the convergence of these iterative methods requires either pseudomonotonicity or partially relaxed strongly monotonicity. Our proofs of convergence are very simple. As special cases, we obtain earlier results for solving equilibrium problems and variational inequalities involving the convex sets.
AMS Mathematics Subject Classification49J30 90C30
Key words and phrasesEquilibrium problems variational inequalities nonconvex sets iterative methods convergence
Unable to display preview. Download preview PDF.
- 4.F. Giannessi, A. Maugeri and P. M. Pardalos,Equilibrium problems: nonsmooth optimization and variational inequality models, Kluwer Academics Publishers, Dordrecht, Holland, 2001.Google Scholar
- 12.M. Aslam Noor,Multivalued regularized equilibrium problems, J. Global Optim. In Press.Google Scholar