Contraction Mapping Fixed Point And Iteration Of Equilibrium Problems

This paper mainly divided four chapters, separately studied Suzuki type contractiveoperator fixed point theorems，operator iteration and the number of equilibrium problems.Chapter1In this chapter，we introduce the actual application and the current develop-ment situation of contractive operator fixed point and the equilibrium problems.Chapter2Firstly，we introduces commuting Suzuki type contractive operator fixedpoint，and then extended Suzuki type contractive operator fixed point theorems.Chapter3Firstly，we discuss the iteration problems in Hilbert space. Then we use Wnmethod to solve common solutions of equilibrium problems in Hilbert space.Chapter4Firstly，we discuss the iteration problems in Banach space. Then we usetwo different methods to solve common solutions of equilibrium problems in Banach space.