Skip to main content

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

Abstract

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 well-posedness are obtained. Some relations among these types of well-posedness are also established under some suitable conditions.

Publisher note

To access the full article, please see PDF.

Author information

Affiliations

Authors

Corresponding author

Correspondence to Nan-Jing Huang.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Long, X., Huang, NJ. & Teo, K.L. Levitin-Polyak Well-Posedness for Equilibrium Problems with Functional Constraints. J Inequal Appl 2008, 657329 (2007). https://doi.org/10.1155/2008/657329

Download citation

Keywords

  • Equilibrium Problem
  • Suitable Condition
  • Full Article
  • Functional Constraint
  • Publisher Note
\