Generalized contractions on partial metric spaces

@article{Altun2010GeneralizedCO,
  title={Generalized contractions on partial metric spaces},
  author={Ishak Altun and Ferhan Sola and Hakan Simsek},
  journal={Topology and its Applications},
  year={2010},
  volume={157},
  pages={2778-2785}
}
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389 Citations
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129
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389 Citations

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15 References

Random and deterministic fixed point theory for generalized contractive maps

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We extend the celebrated result of W. A. Kirk that a metric space is complete if and only if every Caristi self-mapping for has a fixed point, to partial metric spaces.

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(1969). Some Results on Fixed Points—II. The American Mathematical Monthly: Vol. 76, No. 4, pp. 405-408.

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where \p is some function defined on the closure of the range of p. In [3], Rakotch proved that if \p(t) =ct(t)t, where a is decreasing and a(t) <1 for i>0, then a mapping satisfying (3) has a unique…