Fixed Point Solutions of Generalized Mixed Equilibrium Problems for Multi-Valued Non-Expansive Mappings
Chen Ya-y · Journal of North University of China · 2013
The concept of multi-valued non-expansive mappings was introduced,the fixed point set of multivalued non-expansive mappings and the common point problem of generalized mixed equilibrium problems were studied.An iterative scheme was constructed by using the fixed point theory in Banach space.It is proved that the scheme is strong convergence to the fixed point set of multi-valued non-expansive mappings and the common point of generalized mixed equilibrium problems and the scheme generalizes the previous conclusion by using the best approximation method and measure the projection method.