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

Karahan, Ibrahim; Seçer, Aydın; Özdemir, Murat; Bayram, Mustafa

doi:10.1186/s13660-015-0567-x

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

Atıf İçin Kopyala

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

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2015
Doi Numarası: 10.1186/s13660-015-0567-x
Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Yıldız Teknik Üniversitesi Adresli: Evet

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.