Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings

作者：Bunyawat Aunyarat; Suantai Suthep^*

来源：Fixed Point Theory and Applications, 2013, 2013(1): 236.

DOI：10.1186/1687-1812-2013-236

• multivalued nonexpansive mappings
• mixed equilibrium problem
• shrinking projection method

In this paper, we prove a strong convergence theorem for a new hybrid method, using shrinking projection method introduced by Takahashi and a fixed point method for finding a common element of the set of solutions of mixed equilibrium problem and the set of common fixed points of a countable family of multivalued nonexpansive mappings in Hilbert spaces. We also apply our main result to the convex minimization problem and the fixed point problem of a countable family of multivalued nonexpansive mappings.

• 出版日期2013-9-16