Existence and well-posedness for excess demand equilibrium problems
Lâm Quốc Anh, Pham Thanh Duoc, Tran Quoc Duy · Numerical Algebra Control and Optimization · 2021
In this paper, we study excess demand equilibrium problems in Euclidean spaces. Applying the Glicksberg's fixed point theorem, sufficient conditions for the existence of solutions for the reference problems are established. We introduce a concept of well-posedness, say Levitin–Polyak well-posedness in the sense of Painlevé–Kuratowski, and investigate sufficient conditions for such kind of well-posedness.