Fixed points for (ψ,φ)-weakly contractive mappings in generalized metric spaces

We establish a fixed point theorem for mappings satisfying (ψ,φ)-weakly contractive conditions in complete generalized metric spaces, a concept introduced in [A. Branciari, A fixed point theorem of Banach–Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen. 57 (2000) 31–37...

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Veröffentlicht in:	Applied mathematics letters 2012-05, Vol.25 (5), p.902-906
Hauptverfasser:	Lakzian, Hossein, Samet, Bessem
Format:	Artikel
Sprache:	eng
Schlagworte:	Contraction of integral type Fixed point Fixed points (mathematics) Generalized metric Mapping Mathematical analysis Metric space Theorems Weakly contractive condition
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Beschreibung
Zusammenfassung:	We establish a fixed point theorem for mappings satisfying (ψ,φ)-weakly contractive conditions in complete generalized metric spaces, a concept introduced in [A. Branciari, A fixed point theorem of Banach–Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen. 57 (2000) 31–37]. The theorem presented extends and generalizes many existing results from the literature.
ISSN:	0893-9659 1873-5452
DOI:	10.1016/j.aml.2011.10.047