Fixed point theory for generalized contractions in cone metric spaces

Fixed point theory for generalized contractions in cone metric spaces

► Fixed point. ► Cone metric space. ► Hausdorff metric. ► Generalized contraction. ► Complete metric spaces. In this paper, we prove some fixed point theorems for generalized contractions in cone metric spaces. Our theorems extend some results of Suzuki (2008) [T. Suzuki, A generalized Banach contra...

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Veröffentlicht in:Communications in nonlinear science & numerical simulation 2012-02, Vol.17 (2), p.708-712
Hauptverfasser: Farajzadeh, A.P., Amini-Harandi, A., Baleanu, D.
Format: Artikel
Sprache:eng
Schlagworte:
Completeness
Computer simulation
Cone metric space
Constants
Fixed point
Fixed points (mathematics)
Hausdorff metric
Mathematical models
Metric space
Nonlinearity
Set-valued maps
Theorems
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Beschreibung
Zusammenfassung:► Fixed point. ► Cone metric space. ► Hausdorff metric. ► Generalized contraction. ► Complete metric spaces. In this paper, we prove some fixed point theorems for generalized contractions in cone metric spaces. Our theorems extend some results of Suzuki (2008) [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc Amer Math Soc 136(5) (2008), 1861–1869] and Kikkawa and Suzuki (2008) [M. Kikkawa and T. Suzuki, Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal 69(9) (2008), 2942–2949].
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2011.01.016