Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 46041, 25 pages
doi:10.1155/2007/46041
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.