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Fixed points for \(\alpha\)-\(\psi\) contractive mappings with an application to quadratic integral equations - MaRDI portal

Fixed points for \(\alpha\)-\(\psi\) contractive mappings with an application to quadratic integral equations (Q2877639)

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scientific article; zbMATH DE number 6333993
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Fixed points for \(\alpha\)-\(\psi\) contractive mappings with an application to quadratic integral equations
scientific article; zbMATH DE number 6333993

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    25 August 2014
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    metric space
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    alpha-psi contraction
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    fixed point
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    quadratic integral equation
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    Fixed points for \(\alpha\)-\(\psi\) contractive mappings with an application to quadratic integral equations (English)
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    In this paper, the author proves some fixed point theorems for the class of alpha-psi contractions, under some relaxed assumptions. The results unify and generalize several well known theorems in the literature. As an application, the existence and uniqueness of the solutions for a class of quadratic integral equations is discussed.
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