关于三元函数的广义非线性混合平衡问题的辅助迭代算法(英文)

Auxiliary Principle and Iterative Algorithms for Mixed General Equilibrium Problems with Trifunction

引进了关于三元函数的广义混合平衡问题,以及新概念g-松弛Lipschitz.用辅助技术和近似迭代法证明了一般混合平衡问题的解的存在性和收敛性.

In this paper, we introduce a new class of equilibrium problem which is called mixed general equilibrium problems with trifunction. For this parpose, we introduce a new definition of relaxed contractive. By using the auxiliary principle technique, we prove the existence and convergence of the solution of the mixed general equilibrium problem with a proximal point method.