Equivalent Solutions of Nonlinear Equations in a Topological Vector Space with a Wedge. (5th July 2007)

• Record Type: Journal Article
• Authors: Rontó, A.; Šremr, J.
• Other Names: Reich Simeon Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2007(2007)
• Publication Date: 2007-07-05
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2007/46041
• Languages: English
• ISSNs: 1029-242X

Abstract

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.