Completion of TVS-Cone Metric Spaces and Some Fixed Point Theorems

Thabet ABDELJAWAD

Makale detayları

Completion of TVS-Cone Metric Spaces and Some Fixed Point Theorems

Yazarlar:

Thabet ABDELJAWAD

Yayıncı:

Gazi University

Dergi:

Gazi University Journal of Science 2011 Vol.24 Issue 2, pp.235-240

Belge Tipi:

Makale

Yayın Tarihi:

4/2011

Belge Dili:

İngilizce

Document ID (Org No.):

2000429648

eISSN:

2147-1762

Özet:

 


In this paper a completion theorem for cone metric spaces and a completion theorem for cone normed space over a complete locally convex topological vector space E are proved. The completion spaces are de- fined by means of an equivalence relation obtained by convergence via the topology of the locally convex space E. Very recently some fixed point theorems obtained in cone Banach spaces are generalized to locally convex cone Banach spaces. These theorems can not be generalized or proved trivially by using  the  nonlinear scalarization function used very recently by Wei-Shih Du in ” A note on cone  metric  fixed point  theory and its equivalence, Nonlinear Analysis  Theory Methods and Applications 72 (5):2259-2261 (2010)”.



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Makale detayları

Completion of TVS-Cone Metric Spaces and Some Fixed Point Theorems

Yazarlar: Thabet ABDELJAWAD

Yayıncı: Gazi University

Dergi: Gazi University Journal of Science 2011 Vol.24 Issue 2, pp.235-240

Belge Tipi: Makale

Yayın Tarihi: 4/2011

Belge Dili: İngilizce

Document ID (Org No.): 2000429648

eISSN: 2147-1762

Sayı

Yazarlar:

Thabet ABDELJAWAD

Yayıncı:

Gazi University

Dergi:

Gazi University Journal of Science 2011 Vol.24 Issue 2, pp.235-240

Belge Tipi:

Makale

Yayın Tarihi:

4/2011

Belge Dili:

İngilizce

Document ID (Org No.):

2000429648

eISSN:

2147-1762