Functional-type Caristi-Kirk theorem on Menger space and application (Q780482)
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scientific article; zbMATH DE number 7221147
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functional-type Caristi-Kirk theorem on Menger space and application |
scientific article; zbMATH DE number 7221147 |
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Functional-type Caristi-Kirk theorem on Menger space and application (English)
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15 July 2020
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Summary: In this paper, we extend Caristi's fixed point theorem in metric spaces to probabilistic metric spaces, and also, we prove some common fixed point theorems for a pair of mappings satisfying a system of Caristi-type contractions in the setting of a Menger space. Two examples are given to support the main results. Furthermore, we have functional equations as an application for the main theorem.
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