REGULARIZATION METHODS FOR QUASI-MIXED EQUILIBRIUM PROBLEMS IN BANACH SPACES

In this paper, we establish a regularization method of a class of quasi-mixed equilibrium problems in Banach spaces. First, an existence result of Minty inequality is given by applying the Tychonov fixed point theorem. Second, we show that the existence of solutions of the quasi-mixed equilibrium problems. Finally, some assumptions are proposed to ensure the boundedness and the convergence of regularized solutions.

Automated summary

This paper introduces a regularization method for a class of quasi-mixed equilibrium problems in Banach spaces. The existence of Minty inequality is proven using the Tychonov fixed point theorem, and solutions for the quasi-mixed equilibrium problems are discussed. Assumptions are proposed to ensure the boundedness and convergence of the regularized solutions.