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


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

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2015
  • Doi Number: 10.1186/s13660-015-0567-x
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS

Abstract

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.