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On 1-set-contraction perturbations of accretive operators in cones of Banach spaces - MaRDI portal

On 1-set-contraction perturbations of accretive operators in cones of Banach spaces (Q1922974)

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scientific article; zbMATH DE number 930233
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English
On 1-set-contraction perturbations of accretive operators in cones of Banach spaces
scientific article; zbMATH DE number 930233

    Statements

    On 1-set-contraction perturbations of accretive operators in cones of Banach spaces (English)
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    30 September 1996
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    The paper deals with the solvability, for \(y\in P\), a cone of a Banach space, of the equation \[ y\in-Ax+Tx,. \] \(T\) is a 1-set contraction of \(P\) and \(A\) is an accretive operator not \(m\)-accretive, and satisfying a range condition. A fixed point index is defined for \(-A+T\).
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    solvability
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    1-set contraction
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    accretive operator
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    range condition
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    fixed point index
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