2013
DOI: 10.1186/1687-1812-2013-5
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Abstract: Motivated by experience from computer science, Matthews (1994) introduced a nonzero self-distance called a partial metric. He also extended the Banach contraction principle to the setting of partial metric spaces. In this paper, we show that fixed point theorems on partial metric spaces (including the Matthews fixed point theorem) can be deduced from fixed point theorems on metric spaces. New fixed point theorems on metric spaces are established and analogous results on partial metric spaces are deduced. MSC: … Show more

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Cited by 56 publications
(40 citation statements)
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“…We note the same idea here, but in the case of coupled and tripled fixed point theorems, we have been first used in ( [3,28,33]). …”
Section: Resultsmentioning
confidence: 99%
“…We note the same idea here, but in the case of coupled and tripled fixed point theorems, we have been first used in ( [3,28,33]). …”
Section: Resultsmentioning
confidence: 99%
“…It was shown that, in some cases, the results of fixed point in partial metric spaces can be obtained directly from their induced metric counterparts [21,26,45]. However, some conclusions important for the application of partial metrics in information sciences cannot be obtained in this way.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, Samet et al [8] and Vetro and Vetro [9], used a semicontinuous function to establish new fixed point results. As consequences, we deduce some results on fixed point in the setting of partial metric spaces.…”
Section: Introductionmentioning
confidence: 99%
“…As consequences, we deduce some results on fixed point in the setting of partial metric spaces. In this paper, we use the ideas from [8,9] and the notion of modified asymmetric type mapping to establish existence and uniqueness of fixed points in the setting of G-metric spaces. As consequences, we deduce some results on fixed point in the setting of partial G-metric spaces.…”
Section: Introductionmentioning
confidence: 99%