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Common fixed points of a pair of Hardy Rogers type mappings on a closed ball in ordered partial metric spaces. (English) Zbl 1291.54071

Summary: Common fixed point results for mappings satisfying locally contractive conditions on a closed ball in a 0-complete ordered partial metric space have been established for two, three and four mappings. Instead of monotone mapping, the notion of dominated mappings is applied. We have used weaker contractive conditions and weaker restrictions to obtain unique fixed points. An example is given which shows that how this result can be used when the corresponding results cannot. Our results generalize, extend and improve several well-known conventional results.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E35 Metric spaces, metrizability
54E40 Special maps on metric spaces
54E50 Complete metric spaces
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