Strong convergence of an implicit iteration process for a finite family      of Lipschitz $\phi -$uniformly pseudocontractive mappings in Banach spaces

B. S.  Lee; Arif Rafiq

doi:10.3934/naco.2014.4.287

Article Contents

2014, Volume 4, Issue 4: 287-293. Doi: 10.3934/naco.2014.4.287

This issue Previous Article Next Article Nonlinear scalarization with applications to Hölder continuity of approximate solutions

Strong convergence of an implicit iteration process for a finite family of Lipschitz $\phi -$uniformly pseudocontractive mappings in Banach spaces

B. S. Lee^1, and
Arif Rafiq^2,

1.
Department of Mathematics, Kyungsung University, Busan 608-736
2.
Department of Mathematics, Lahore Leads University, Lahore

Received: September 2013

Revised: September 2014

Published: December 2014

Abstract / Introduction Related Papers Cited by

Abstract

The purpose of this paper is to establish a strong convergence of an implicit iteration process to a common fixed point for a finite family of Lipschitz $\phi-$uniformly pseudocontractive mappings in real Banach spaces. The results presented here improve and extend the corresponding results in [2, 4, 6] and the consecutive remark explains in details about the facts.

Keywords:

Implicit iteration process,
Lipschitz $\phi -$uniformly pseudocontractive mapping,
common fixed point,
Banach spaces.

Mathematics Subject Classification: Primary: 47H10, 47H17; Secondary: 54H25.

Citation:

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References

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