Approximating Fixed Points of Contractive Set-Valued Mappings

Simeon Reich; Alexander J. Zaslavski

doi:cma/1270646494

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Home > Journals > Commun. Math. Anal. > Volume 8 > Issue 1 > Article

2010 Approximating Fixed Points of Contractive Set-Valued Mappings

Simeon Reich, Alexander J. Zaslavski

Commun. Math. Anal. 8(1): 70-78 (2010).

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Abstract

We establish two uniform convergence theorems for an iterative scheme which approximates fixed points of strictly contractive set-valued mappings in complete metric spaces.

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Simeon Reich. Alexander J. Zaslavski. "Approximating Fixed Points of Contractive Set-Valued Mappings." Commun. Math. Anal. 8 (1) 70 - 78, 2010.

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Published: 2010

First available in Project Euclid: 7 April 2010

zbMATH: 1171.47056

MathSciNet: MR2551493

Subjects:

Primary: 47H04 , 47H09

Secondary: ‎54C60‎ , ‎54E50‎

Keywords: complete metric space , fixed point , iterative scheme , strictly contractive set-valued mapping

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Commun. Math. Anal.

Vol.8 • No. 1 • 2010

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Simeon Reich, Alexander J. Zaslavski "Approximating Fixed Points of Contractive Set-Valued Mappings," Communications in Mathematical Analysis, Commun. Math. Anal. 8(1), 70-78, (2010)

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