Equivalent Solutions of Nonlinear Equations in a Topological Vector Space with a Wedge

We obtain efficient conditions under which some or all solutionsof a nonlinear equation in a topological vector space preordered by a closedwedge are comparable with respect to the corresponding preordering. Conditionssufficient for the equivalence of comparable solutions are also given. Thewedge un...

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Bibliographic Details
Published in:Journal of inequalities and applications 2007-01, Vol.2007, p.1-26
Main Authors: Ronto, A, Sremr, J
Format: Article
Language:English
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Summary:We obtain efficient conditions under which some or all solutionsof a nonlinear equation in a topological vector space preordered by a closedwedge are comparable with respect to the corresponding preordering. Conditionssufficient for the equivalence of comparable solutions are also given. Thewedge under consideration is not assumed to be a cone, nor any continuityconditions are imposed on the mappings considered.
ISSN:1025-5834
1029-242X
DOI:10.1155/2007/46041