摘要

We consider a multi-step algorithm to approximate a common element of the set of solutions of monotone and Lipschitz-type continuous equilibrium problems, and the set of common fixed points of a finite family of set-valued mappings satisfying condition (E). We prove strong convergence theorems of such an iterative scheme in real Hilbert spaces. This common solution is the unique solution of a variational inequality problem and it satisfies the optimality condition for a minimization problem. The main result extends various results exiting in the literature.

  • 出版日期2016

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