A variational property for a family of vector-valued functions
Abstract
Let X be a Banach space and for each real t let G(t) and h(t) respectively denote a bounded linear operator on X and a vector in X. Let(Formula presented.) for x in X. A sufficient condition is given for the existence of a unique vector x which minimizes μ. An application to control theory is given.
Publication Title
Annali dell’Università di Ferrara: Sezione VII - Scienze Matematiche
Recommended Citation
Goldstein, J. (1975). A variational property for a family of vector-valued functions. Annali dell’Università di Ferrara: Sezione VII - Scienze Matematiche, 20 (1), 145-150. https://doi.org/10.1007/BF02850718
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