The common solution for a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem


Karahan I., Seçer A. , Özdemir M., Bayram M.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1186/s13660-015-0567-x
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS

Özet

The present paper aims to deal with a new iterative method to find a common solution of a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem for a sequence of nearly nonexpansive mappings. It is proved that the proposed method converges strongly to a common solution of above problems under some assumptions. The results here improve and extend some recent corresponding results by many other authors.