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Multivalued relation-theoretic weak contractions and applications - MaRDI portal

Multivalued relation-theoretic weak contractions and applications (Q6557959)

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scientific article; zbMATH DE number 7867613
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Multivalued relation-theoretic weak contractions and applications
scientific article; zbMATH DE number 7867613

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    Multivalued relation-theoretic weak contractions and applications (English)
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    18 June 2024
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    In the paper, the existence of fixed points under multivalued relation-theoretic weak contractions is considered, but the uniqueness of the fixed point is not investigated.\N\NThe focus of the paper is to consider the existence of fixed points of multivalued maps in a more general framework and to extend some theorems in the existing literature.\N\NAn example is given to illustrate the applicability of the theorem. Furthermore, an application to find the solution of a Volterra type integral equation is presented.
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    multivalued mapping
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    binary relation
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    relation-theoretic weak contraction
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