An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space

作者：Cholamjiak Prasit; Suantai Suthep^*

来源：Applied Mathematics and Computation, 2010, 217(8): 3825-3831.

DOI：10.1016/j.amc.2010.09.041

• Relatively nonexpansive mapping
• Iterative method
• Generalized projection
• Strong convergence
• Equilibrium problem

In this paper, we introduce a new iterative method for finding a common element of the set of fixed points of a finite family of relatively nonexpansive mappings and the set of solutions of an equilibrium problem in uniformly convex and uniformly smooth Banach spaces. Then we prove a strong convergence theorem by using the generalized projection.

• 出版日期2010-12-15