TITLE:
An Iterative Algorithm for Generalized Mixed Equilibrium Problems and Fixed Points of Nonexpansive Semigroups
AUTHORS:
Jong Kyu Kim, Salahud din, Won Hee Won Hee
KEYWORDS:
Meir-Keeler Contraction Mappings, Left Regular, Generalized Mixed Equilibrium Problems, Variational Inequalities, α-Inverse Strongly Monotone Mappings, Nonexpansive Semigroups
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.2,
February
15,
2017
ABSTRACT:
In this works, by using the modified viscosity approximation method associated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and generalized mixed equilibrium problems in Hilbert spaces.