Convergence Theorems for Hierarchical Fixed Point Problems and Variational Inequalities

Karahan I., ÖZDEMİR M.

JOURNAL OF APPLIED MATHEMATICS, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1155/2014/280158
  • Dergi Adı: JOURNAL OF APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Atatürk Üniversitesi Adresli: Evet

Özet

This paper deals with a modified iterative projection method for approximating a solution of hierarchical fixed point problems for nearly nonexpansive mappings. Some strong convergence theorems for the proposed method are presented under certain approximate assumptions of mappings and parameters. As a special case, this projection method solves some quadratic minimization problem. It should be noted that the proposed method can be regarded as a generalized version of Wang and Xu (2013), Ceng et al. (2011), Sahu et al. ( 2012), and many other authors.