On the existence of solutions of quasi-equilibrium problems (UPQEP), (LPQEP), (UWQEP) and (LWQEP) and problems related (Joint work with Than Van Dinh)

On the existence of solutions of quasi-equilibrium problems (UPQEP), (LPQEP), (UWQEP) and (LWQEP) and problems related
Tác giả: TS. Cộng Sự 1
Nơi đăng: , Số: , Trang: , Năm: 2016, Loại bài viết: Bài báo, Quốc gia: Quốc tế.

Abstract:

The purpose of the present paper is to prove two main theorems concerning C-monotone and C-convex multivalued mappings where $C$ is given cone and its applications to the quasi-equilibrium problems (UPQEP), (LPQEP), (UWQEP) and (LWQEP).  Moreover, we also derive some sufficient conditions on the existence of solutions of the general vector $\alpha$ optimization problems $(GVOP)_{\alpha}$ and derive a sufficient condition on the existence of equilibrium points.