On strong convergence in real Banach spaces obtained by dropping the Lipshitz condition

Khan S. H., YILDIRIM İ.

APPLIED MATHEMATICS LETTERS, cilt.24, sa.7, ss.1170-1175, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 7
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.aml.2011.02.001
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1170-1175
  • Atatürk Üniversitesi Adresli: Evet

Özet

We consider an implicit iterative process for two finite families of mappings in a real Banach space and prove strong convergence results without using the Lipschitz condition on mappings. Our results mainly improve and extend the recent results of Chang et al. (2001, 2009, 2007) [1-3], Cho et al. (2005) [4], Cu (2008) [14], Ofoedu (2006) [9], Schu (1991) [13], Zeng (2003, 2005) [20,21], and Qin et al. (2008) [11,12]. (C) 2011 Elsevier Ltd. All rights reserved.