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

: We obtain efficient conditions 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. Conditions sufficient for the equivalence of comparable solutions are also given. The we...

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Bibliographic Details
Published in:Journal of inequalities and applications 2007-07, Vol.2007 (1), p.046041-046041
Main Authors: Rontó, A, Šremr, J
Format: Article
Language:English
Online Access:Get full text
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Summary:: We obtain efficient conditions 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. Conditions sufficient for the equivalence of comparable solutions are also given. The wedge under consideration is not assumed to be a cone, nor any continuity conditions are imposed on the mappings considered.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2007-046041