Further Study on the Levitin-Polyak Well-Posedness for Vector Equilibrium Problems

Levitin-polyak Well-posedness of the System of Weak Generalized Vector Equilibrium Problems

In this paper, we introduce two types of the Levitin-Polyak well-posedness for the system of weak generalized vector equilibrium problems. By using the gap function of the system of weak generalized vector equilibrium problems, we establish the equivalent relationship between the two types of Levitin-Polyak well-posedness of the system of weak generalized vector equilibrium problems and the cor...

Levitin-Polyak Well-Posedness for Equilibrium Problems with Functional Constraints

We generalize the notions of Levitin-Polyak well-posedness to an equilibrium problem with both abstract and functional constraints. We introduce several types of generalized Levitin-Polyak well-posedness. Some metric characterizations and sufficient conditions for these types of wellposedness are obtained. Some relations among these types of well-posedness are also established under some suitab...

Levitin-Polyak well-posedness of vector equilibrium problems

Well-Posedness of Generalized Vector Quasivariational Inequality Problems

We introduce several types of the Levitin-Polyak well-posedness for a generalized vector quasivariational inequality problem with both abstract set constraints and functional constraints. Criteria and characterizations of these types of the Levitin-Polyak well-posednesses with or without gap functions of generalized vector quasivariational inequality problem are given. The results in this paper...

Levitin-Polyak Well-Posedness in Vector Quasivariational Inequality Problems with Functional Constraints

Copyright q 2010 J. Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We introduce several types of Levtin-Polyak well-posedness for a vector quasivariational inequality with functional constraints. Necessary and/or suf...