Details

Autor(en) / Beteiligte

• Bnouhachem, Abdellah

Titel

An iterative algorithm for system of generalized equilibrium problems and fixed point problem

Ist Teil von

• Fixed point theory and algorithms for sciences and engineering, 2014-12, Vol.2014, p.1

Ort / Verlag

New York: Springer Nature B.V

Erscheinungsjahr

2014

Quelle

SpringerNature Journals

Beschreibungen/Notizen

• In this paper, we propose an iterative algorithm for finding a common solution of a system of generalized equilibrium problems and a fixed point problem of strictly pseudo-contractive mapping in the setting of real Hilbert spaces. We prove the strong convergence of the sequence generated by the proposed method to a common solution of a system of generalized equilibrium problems and a hierarchical fixed point problem. Preliminary numerical experiments are included to verify the theoretical assertions of the proposed method. The iterative algorithm and results presented in this paper generalize, unify, and improve the previously known results of this area. MSC: 49J30, 47H09, 47J20.