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Equivalent solutions of nonlinear equations in a topological vector space with a wedge - MaRDI portal

Equivalent solutions of nonlinear equations in a topological vector space with a wedge (Q2471933)

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Equivalent solutions of nonlinear equations in a topological vector space with a wedge
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    Equivalent solutions of nonlinear equations in a topological vector space with a wedge (English)
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    19 February 2008
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    Some efficient conditions are obtained under which some or all solutions of a nonlinear equation in a topological vector space, preordered by a closed wedge, are comparable with respect to the corresponding preordering. Sufficient conditions for the equivalence of comparable solutions are also given. The wedge is not assumed to be a cone, nor are any continuity conditions imposed on the considered mappings.
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    wedge
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    topological vector space
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    nonlinear eigenvalue problem
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