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Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces. (English) Zbl 1165.65027
The purpose of the paper is to introduce hybrid projection algorithms to find a common element of the set of common fixed points of two quasi-$$\phi$$-nonexpensive mappings and the set of solutions of an equilibrium problem in the framework of Banach spaces.

##### MSC:
 65J15 Numerical solutions to equations with nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc. 47H10 Fixed-point theorems 47J25 Iterative procedures involving nonlinear operators
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