On solution of boundary value problems via weak contractions (Q2071896)

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scientific article; zbMATH DE number 7466790
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On solution of boundary value problems via weak contractions
scientific article; zbMATH DE number 7466790

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    On solution of boundary value problems via weak contractions (English)
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    31 January 2022
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    Summary: The aim is to present a new relational variant of fixed point result that generalizes various fixed point results of the existing theme for contractive type mappings. As an application, we solve a periodic boundary value problem and validate all assertions with the help of nontrivial examples. We also highlight the close connections of the fixed point results equipped with a binary relation to that of graph related metrical fixed point results. Radically, these investigations unify the theory of metrical fixed points for contractive type mappings.
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    contractive type mappings
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    fixed point
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