Received May 19, 2019; Accepted November 5, 2019; Published November 21, 2019
Abstract. In this paper, based on the well-known Ky Fan section theorem and separation theorems, and new assumptions, some existence results on vector equilibrium problems and weak vector equilibrium problems with set-valued mappings are obtained, respectively. Some examples are given to illustrate our main results.
How to Cite this Article:
Tao Chen, Shufang Zou, Yu Zhang, New existence theorems for vector equilibrium problems with set-valued mappings, Journal of Nonlinear Functional Analysis, Vol. 2019 (2019), Article ID 45, pp. 1-10.