Fixed Points of Nonexpansive Mappings in Banach Spaces

Volume 12, Issue 4, pp 295-303 http://dx.doi.org/10.22436/jmcs.012.04.05

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Authors

F. Golkar - Department of Mathematics, Shahid Chamran university of Ahvaz, Ahvaz, Iran. A. Dianatifar - Department of Mathematics, Shahid Chamran university of Ahvaz, Ahvaz, Iran. A. M. Aminpour - Department of Mathematics, Shahid Chamran university of Ahvaz, Ahvaz, Iran. M. Sadeghi - Department of Mathematics, Shahid Chamran university of Ahvaz, Ahvaz, Iran.

Abstract

In this paper we study the approximation of common fixed points of a finite family of nonexpansive mappings in uniformly smooth Banach spaces. Also we show that the convergence of the proposed algorithm can be proved under some types of control conditions.

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Keywords

• Nonexpansive mapping
• Strong convergence
• Common fixed point
• Uniformly smooth Banach space.

MSC

•  47H10
•  47H09

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