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Remarks on some coupled fixed point results in partial metric spaces. (English) Zbl 1291.54065

Summary: We have developed a new method of reducing coupled fixed point results in partial metric spaces to the respective results for mappings with one variable, even obtaining (in some cases) more general theorems. Our results generalize, improve, enrich and complement recently coupled fixed point results established by H. Alaeidizaji and V. Parvaneh [Int. J. Math. Math. Sci. 2012, Article ID 670410, 12 p. (2012; Zbl 1254.54049)]. Also, by using our method several tripled fixed point results in partial metric spaces can be reduced to fixed point results with one variable.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E35 Metric spaces, metrizability
54E50 Complete metric spaces

Citations:

Zbl 1254.54049
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