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Fixed point results for mappings satisfying $(ψ,φ)$-weakly contractive condition in ordered partial metric spaces

In: Mathematica Slovaca, vol. 63, no. 4
Hemant Kumar Nashine
Detaily:
Rok, strany: 2013, 871 - 882
Kľúčové slová:
partial order, partial metric spaces, fixed point, altering distance function, weakly contractive condition
O článku:
In [Matthews, S. G.: Partial metric topology. In: Proc. 8th Summer Conference on General Topology and Applications, Ann. New York Acad. Sci. 728 (1994), 183–197], a new class of metric spaces is introduced, that is, the concept of partial metric spaces, or equivalently, weightable quasi-metrics, are investigated to generalize metric spaces $(X,d)$, to develop and to introduce a new fixed point theory. In partial metric spaces, the self-distance for any point need not be equal to zero. In this paper, we study some results for single map satisfying $(ψ,φ)$-weakly contractive condition in partial metric spaces endowed with partial order. An example is given to support the useability of our results.
Ako citovať:
ISO 690:
Nashine, H. 2013. Fixed point results for mappings satisfying $(ψ,φ)$-weakly contractive condition in ordered partial metric spaces. In Mathematica Slovaca, vol. 63, no.4, pp. 871-882. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0141-2

APA:
Nashine, H. (2013). Fixed point results for mappings satisfying $(ψ,φ)$-weakly contractive condition in ordered partial metric spaces. Mathematica Slovaca, 63(4), 871-882. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0141-2
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