On Existence of Solutions of Parametrized Generalized Equations

被引：2
|
作者：
Dontchev, Asen L. [1 ,2 ]
机构：
[1] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA
[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA
来源：
SET-VALUED AND VARIATIONAL ANALYSIS | 2021年 / 29卷 / 03期
基金：
美国国家科学基金会; 澳大利亚研究理事会; 奥地利科学基金会;
关键词：
Generalized equations; Existence of solutions; Metric regularity; Local selection; THEOREM;
D O I：
10.1007/s11228-020-00554-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study existence of solutions to the generalized equation 0 is an element of f(p,x) +F(x), wherefis a function,Fis a set-valued mapping, andpis a parameter. Conditions are given, in terms of metric regularity ofF, local convex-valuedness ofF(- 1), and partial calmness offwith respect toxuniformly inp, for the property that, for anypnear the reference value, the generalized equation has a solution at a certain distance from the reference solution. Some corollaries and applications of this result are also presented.
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页码：735 / 744
页数：10
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