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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 wedge under consideration is not assumed to be a cone, nor any continuity conditions are imposed on the mappings considered.



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Correspondence to A Rontó.

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Rontó, A., Šremr, J. Equivalent Solutions of Nonlinear Equations in a Topological Vector Space with a Wedge. J Inequal Appl 2007, 046041 (2007).

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