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

Safeer Hussain Khan; Isa Yildirim

doi:10.1016/j.aml.2011.02.001

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

Safeer Hussain Khan
, Isa Yildirim

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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) [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.

Original language	English
Pages (from-to)	1170-1175
Number of pages	6
Journal	Applied Mathematics Letters
Volume	24
Issue number	7
DOIs	https://doi.org/10.1016/j.aml.2011.02.001
State	Published - Jul 1 2011

Keywords

Asymptotically pseudo-contractive
Common fixed point
Implicit iterative process
Strong convergence
Uniformly L-Lipschitzian

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10.1016/j.aml.2011.02.001

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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) [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]. {\textcopyright} 2011 Elsevier Ltd. All rights reserved.",

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AU - Yildirim, Isa

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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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SP - 1170

EP - 1175

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 7

ER -

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

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Keywords

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