Fixed and best proximity points of cyclic jointly accretive and contractive self-mappings (Q443105)
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scientific article; zbMATH DE number 6063494
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed and best proximity points of cyclic jointly accretive and contractive self-mappings |
scientific article; zbMATH DE number 6063494 |
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Fixed and best proximity points of cyclic jointly accretive and contractive self-mappings (English)
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6 August 2012
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Summary: \(p(\geq 2)\)-cyclic and contractive self-mappings on a set of subsets of a metric space which are simultaneously accretive on the whole metric space are investigated. The joint fulfilment of the \(p\)-cyclic contractiveness and accretive properties is formulated as well as potential relationships with cyclic self-mappings in order to be Kannan self-mappings. The existence and uniqueness of best proximity points and fixed points is also investigated as well as some related properties of composed self-mappings from the union of any two adjacent subsets, belonging to the initial set of subsets, to themselves.
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\(p(\geq 2)\)-cyclic contractive mappings
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cyclic self-mappings
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Kannan self-mappings
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best proximity points
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0.93890214
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0.92646486
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0.9255919
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0.92168254
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0.9184643
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