Shrinking projection algorithms for equilibrium problems with a bifunction defined on the dual space of a Banach space

Jiawei Chen, Yeol Je Cho, Zhongping Wan · Fixed Point Theory and Applications · 2011

Abstract Shrinking projection algorithms for finding a solution of an equilibrium problem with a bifunction defined on the dual space of a Banach space, in this paper, are introduced and studied. Under some suitable assumptions, strong and weak convergence results of the shrinking projection algorithms are established, respectively. Finally, we give an example to illustrate the algorithms proposed in this paper. 2000 Mathematics Subject Classification: 47H09; 65J15; 90C99.

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