The concept of Levitin-Polyak well-posedness of an equilibrium-like problem in Banach spaces is introduced. Under suitable conditions, some characterizations of its Levitin-Polyak well-posedness are established. Some conditions under which an equilibrium-like problem in Banach spaces is Levitin-Polyak well-posed are also derived.
Ru-liang Deng. "Levitin-Polyak Well-Posedness of an Equilibrium-Like Problem in Banach Spaces." Abstr. Appl. Anal. 2014 (SI69) 1 - 6, 2014. https://doi.org/10.1155/2014/368098