The Applications of Modified Generalized Mixed Equilibrium Problems to Nonlinear Problems
Wongvisarut Khuangsatung, Atid Kangtunyakarn · Thai Journal of Mathematics · 2016
From the concept of generalized mixed equilibrium problems, we introduce a new problem to prove a strong convergence theorem for finding a common element of the set of fixed point of an infinite family of nonexpansive mappings and the set of a finite family of generalized mixed equilibrium problems in Hilbert space. We also apply our main result for generalized equilibrium problems and variational inequalities problems.