This work deals with non–global inverse map results for the sum of two maps. We prove two theorems which shed some new light on this aspect. Some implications in terms of sensitivity of parametric generalized equations are investigated. Finally, a class of well–conditioned operators is identified.
Bianchi, M., Kassay, G., Pini, R., An inverse map result and some applications to sensitivity of generalized equations, <<JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS>>, 2013; 2013 (399): 279-290. [doi:10.1016/j.jmaa.2012.10.023] [http://hdl.handle.net/10807/41803]
An inverse map result and some applications to sensitivity of generalized equations
Bianchi, Monica;Pini, Rita
2013
Abstract
This work deals with non–global inverse map results for the sum of two maps. We prove two theorems which shed some new light on this aspect. Some implications in terms of sensitivity of parametric generalized equations are investigated. Finally, a class of well–conditioned operators is identified.
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