Fixed Point Theory for Nonlinear Mappings, Generalized Equilibrium Problems and Variational Inequality Problems by Using Hybrid Method

Atid Kangtunyakarn, Bunyawee chaloemyotphong

Abstract

In this article, by using hybrid method we prove strong convergence theorem for finding a common element of the set of solutions of equilibrium problems, generalized equilibrium problems and fixed points problems by using the  K-mapping generated by a finite family of nonspreading mappings and a finite real numbers. Moreover, we apply our main result to obtain a strong convergence theorem for finding a solution of minimization problems, generalized equilibrium problems and fixed points problems of nonlinear mappings.