A common fixed point theorem with applications to vector equilibrium problems

作者：Balaj Mircea^*

来源：Applied Mathematics Letters, 2010, 23(3): 241-245.

DOI：10.1016/j.aml.2009.09.019

• Generalized equi-KKM family of set-valued mappings
• Fixed point
• Vector equilibrium problem
• Minimax inequality

In this paper, using the Brouwer fixed point theorem, we establish a common fixed point theorem for a family of set-valued mappings. As applications of this result we obtain existence theorems for the solutions of two types of vector equilibrium problems, a Ky Fan-type minimax inequality and a generalization of a known result due to lohvidov.

• 出版日期2010-3