A new approach to study fixed point of multivalued mappings in modular metric spaces and applications (Q515446)
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scientific article; zbMATH DE number 6695462
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new approach to study fixed point of multivalued mappings in modular metric spaces and applications |
scientific article; zbMATH DE number 6695462 |
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A new approach to study fixed point of multivalued mappings in modular metric spaces and applications (English)
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16 March 2017
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Summary: The purpose of this paper is to present a new approach to study the existence of fixed points for multivalued \(F\)-contraction in the setting of modular metric spaces. In establishing this connection, we introduce the notion of multivalued \(F\)-contraction and prove corresponding fixed point theorems in complete modular metric space with some specific assumption on the modular. Then we apply our results to establish the existence of solutions for a certain type of non-linear integral equations.
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fixed point
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multivalued \(F\)-contractive
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modular metric space
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non-linear integral equations
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