Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in Banach spaces
Authors
Chakkrid Klineam
 Department of Mathematics, Faculty of Science, Naresuan University, , Thailand., Phitsanulok, 65000, Thailand.
 Research Center for Academic Excellence in Mathematics, Naresuan University, Phitsanulok, 65000, Thailand.
Prondanai Kaskasem
 Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand.
Suthep Suantai
 Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand.
Abstract
We introduce a hybrid method for finding a common element of the set of solutions of an equilibrium
problem defined on the dual space of a Banach space and the set of common fixed points of a family
of generalized nonexpansive mappings and prove strong convergence theorems by using the new hybrid
method. Using our main results, we obtain some new strong convergence theorems for finding a solution
of an equilibrium problem and a fixed point of a family of generalized nonexpansive mappings in a Banach
space.
Share and Cite
ISRP Style
Chakkrid Klineam, Prondanai Kaskasem, Suthep Suantai, Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in Banach spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 7, 49634975
AMA Style
Klineam Chakkrid, Kaskasem Prondanai, Suantai Suthep, Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in Banach spaces. J. Nonlinear Sci. Appl. (2016); 9(7):49634975
Chicago/Turabian Style
Klineam, Chakkrid, Kaskasem, Prondanai, Suantai, Suthep. "Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in Banach spaces." Journal of Nonlinear Sciences and Applications, 9, no. 7 (2016): 49634975
Keywords
 Hybrid method
 generalized nonexpansive mapping
 NSTcondition
 equilibrium problem
 fixed point problem
 Banach space.
MSC
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