Hybrid method for equilibrium problems and fixed point problems of finite families of nonexpansive semigroups

作者：Eslamian Mohammad^*

来源：Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2013, 107(2): 299-307.

DOI：10.1007/s13398-012-0069-3

• Equilibrium problem
• Hybrid iterative process
• Nonexpansive semigroup
• Common fixed point

In this paper, we introduce a new hybrid iterative process for finding a common element of the set of common fixed points of a finite family of nonexpansive semigroups and the set of solutions of an equilibrium problem in the framework of Hilbert spaces. We then prove strong convergence of the proposed iterative process. The results we obtain extend and improve some recent known results.

• 出版日期2013-9