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

Abstract

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). https://doi.org/10.1155/2007/46041

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Keywords

  • Vector Space
  • Nonlinear Equation
  • Continuity Condition
  • Topological Vector Space
  • Efficient Condition