Existence And Stability And Iterative Algorithms Of Solution For A Class Of Equilibrium Problems

In this paper,we work on the existence and iterative algorithms and Holder continuity of solution for a class of equilibrium problems.The main ideas in the paper are as following:Firstly,we discuss the existence of equilibrium problems with the upper and lower bounds,make the related lemma of the existence of equilibrium problems from European space to Hilbert space,and take advantage of the conclusions to improve and extend the existence of equilibrium problems with a class of upper and lower bounds.Secondly,we study stability of a class of equilibrium problems with Holder con-tinuity.Thirdly,we construct a new iterative algorithm to find the common element of equilibrium problem,variational inequality problems,non-expansive mapping fixed point problem.The relevant results are improved.