In the first part of this paper, we prove some generalized versions of the result of Matthews in (Matthews, 1994) using different types of conditions in partially ordered partial metric spaces for dominated self-mappings or in partial metric spaces for self-mappings. In the second part, using our results, we deduce a characterization of partial metric 0-completeness in terms of fixed point theory. This result extends the Subrahmanyam characterization of metric completeness.
Paesano, D., Vetro, P. (2013). Common Fixed Points in a Partially Ordered Partial Metric Space. INTERNATIONAL JOURNAL OF ANALYSIS, 2013, 1-8 [10.1155/2013/428561].
Common Fixed Points in a Partially Ordered Partial Metric Space
VETRO, Pasquale
2013-01-01
Abstract
In the first part of this paper, we prove some generalized versions of the result of Matthews in (Matthews, 1994) using different types of conditions in partially ordered partial metric spaces for dominated self-mappings or in partial metric spaces for self-mappings. In the second part, using our results, we deduce a characterization of partial metric 0-completeness in terms of fixed point theory. This result extends the Subrahmanyam characterization of metric completeness.
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