TY - JOUR
T1 - On strong convergence in real Banach spaces obtained by dropping the Lipshitz condition
AU - Khan, Safeer Hussain
AU - Yildirim, Isa
PY - 2011/7/1
Y1 - 2011/7/1
N2 - 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) [13], Cho et al. (2005) [4], Gu (2008) [14], Ofoedu (2006) [9], Schu (1991) [13], Zeng (2003, 2005) [20,21], and Qin et al. (2008) [11,12]. © 2011 Elsevier Ltd. All rights reserved.
AB - 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) [13], Cho et al. (2005) [4], Gu (2008) [14], Ofoedu (2006) [9], Schu (1991) [13], Zeng (2003, 2005) [20,21], and Qin et al. (2008) [11,12]. © 2011 Elsevier Ltd. All rights reserved.
KW - Asymptotically pseudo-contractive
KW - Common fixed point
KW - Implicit iterative process
KW - Strong convergence
KW - Uniformly L-Lipschitzian
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U2 - 10.1016/j.aml.2011.02.001
DO - 10.1016/j.aml.2011.02.001
M3 - Article
SN - 0893-9659
VL - 24
SP - 1170
EP - 1175
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
IS - 7
ER -