Fixed point theorems for generalized Mizoguchi-Takahashi graphic contractions (Q305641)
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scientific article; zbMATH DE number 6620477
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point theorems for generalized Mizoguchi-Takahashi graphic contractions |
scientific article; zbMATH DE number 6620477 |
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Fixed point theorems for generalized Mizoguchi-Takahashi graphic contractions (English)
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30 August 2016
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Summary: Remarkable feature of contractions is associated with the concept of Mizoguchi-Takahashi function. For the purpose of extension and modification of classical ideas related with Mizoguchi-Takahashi contraction, we define generalized Mizoguchi-Takahashi \(G\)-contractions and establish some generalized fixed point theorems regarding these contractions in this paper. Some applications to the construction of a fixed point of multivalued mappings in \(\varepsilon\)-chainable metric space are also discussed.
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contractions
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Mizoguchi-Takahashi function
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Mizoguchi-Takahashi \(G\)-contractions
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fixed point theorems
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0.94235057
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0.9221506
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0.9152323
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0.91453487
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0.91133547
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0.90632087
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