Generalized Sequential Normal Compactness and Weak Differentiabilities

Bingwu Wang (), Xinmin Yang () and Pujun Long ()
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Bingwu Wang: Eastern Michigan University
Xinmin Yang: Chongqing Normal University
Pujun Long: Chongqing University of Science and Technology

Journal of Optimization Theory and Applications, 2024, vol. 203, issue 2, No 10, 1309-1324

Abstract: Abstract We study the generalized sequential normal compactness in variational analysis and establish characterizations of the property of graphs of weakly differentiable mappings between Banach spaces, as well as calculus rules involving such functions.

Keywords: Differentiability; Strict differentiability; Weak differentiability; Uniform weak differentiability; Variational analysis; Generalized differentiation; Sequential normal compactness; Generalized sequential normal compactness (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10957-024-02463-w

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