Fixed point theorems for Mizoguchi-Takahashi type contraction in bicomplex-valued metric spaces and applications (Q2189645)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point theorems for Mizoguchi-Takahashi type contraction in bicomplex-valued metric spaces and applications |
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Fixed point theorems for Mizoguchi-Takahashi type contraction in bicomplex-valued metric spaces and applications (English)
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16 June 2020
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Summary: The main aim of this paper is to study and establish some new fixed point theorems for contractive maps that satisfied Mizoguchi-Takahashi's condition in the setting of bicomplex-valued metric spaces. These new results improve and generalize the Banach contraction principle and some well-known results in the literature. Finally, as applications of our results, we give the existence and uniqueness of the solution of a nonlinear integral equation.
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fixed points
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contractive mappings
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Mizoguchi-Takahashi condition
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bicomplex-valued metric spaces
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Banach contraction principle
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existence
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uniqueness
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nonlinear integral equation.
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