The Strong Positivity Conditions
- 1 February 1985
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Mathematics of Operations Research
- Vol. 10 (1) , 54-62
- https://doi.org/10.1287/moor.10.1.54
Abstract
In this paper we consider a class of generalized equations, which are a unified way of formulating problems of linear and nonlinear programming, complementarity, variational inequalities and mathematical economics among others. We introduce a set of conditions, which we call the strong positivity conditions, prove that they are sufficient for a solution of a generalized equation to be locally unique, and discuss their stability when the functions involved in the problem are subjected to small perturbations. Applications to linear generalized equations and nonlinear programming problems are discussed.Keywords
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