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Fixed-point theorems for Meir-Keeler multivalued maps and application - MaRDI portal

Fixed-point theorems for Meir-Keeler multivalued maps and application (Q6039294)

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scientific article; zbMATH DE number 7682271
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Fixed-point theorems for Meir-Keeler multivalued maps and application
scientific article; zbMATH DE number 7682271

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    Fixed-point theorems for Meir-Keeler multivalued maps and application (English)
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    4 May 2023
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    The authors of this paper studied a version of Meir-Keeler result for condensing multivalued mappings with respect to a measure of weak noncompactness in Banach spaces and established some fixed point results, see Section 3. Moreover, they established some fixed-point results in Banach algebras which satisfy an appointed weak sequential condition, see Section 4. Finally, they applied their main result to established the existence of solutions for a functional integral inclusion, see Theorem 5.1.
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    measure of weak noncompactness
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    Meir-Keeler multimap
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    Darbo's fixed-point theorem
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    integral inclusion
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