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

Khan S. H., YILDIRIM İ.

APPLIED MATHEMATICS LETTERS, vol.24, no.7, pp.1170-1175, 2011 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 7
  • Publication Date: 2011
  • Doi Number: 10.1016/j.aml.2011.02.001
  • Journal Name: APPLIED MATHEMATICS LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1170-1175
  • Ataturk University Affiliated: Yes

Abstract

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.