Scalar derivatives and scalar asymptotic derivatives: Properties and some applications (Q1869952)

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scientific article; zbMATH DE number 1903478
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Scalar derivatives and scalar asymptotic derivatives: Properties and some applications
scientific article; zbMATH DE number 1903478

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    Scalar derivatives and scalar asymptotic derivatives: Properties and some applications (English)
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    4 May 2003
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    The notion of scalar asymptotic derivative of a function along a set is introduced and studied in connection with the concept of scalar derivatives and by a duality approach. Then the authors obtain several fixed point theorems. The applications concern surjectivity theorems, variational inequalities, complementarity problems and integral equations.
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    operator equations
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    scalar derivative
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    fixed point theorems
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    variational inequalities
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    complementarity
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