On solving the split generalized equilibrium problem and the fixed point problem for a countable family of nonexpansive multivalued mappings

Abstract We consider the split generalized equilibrium problem and the fixed point problem for a countable family of nonexpansive multivalued mappings in real Hilbert spaces. Then, using the shrinking projection method, we prove a strong convergence theorem for finding a common solution of the consi...

Full description

Bibliographic Details
Main Authors: Withun Phuengrattana, Kritsada Lerkchaiyaphum
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Fixed Point Theory and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13663-018-0631-6