A subset F of a topological space is sequentially compact if any sequence x = (x n ) of points in F has a convergent subsequence whose limit is in F. We say that a subset F of a topological group X is G-sequentially compact if any sequence x = (x n ) of points in F has a convergent subsequence y suc
N-sequential compactness
β Scribed by Xuan Li-xin
- Book ID
- 107901419
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 396 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0165-0114
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We study relationships between two normal compactness properties of sets in Banach spaces that play an essential role in many aspects of variational analysis and its applications, particularly in calculus rules for generalized di erentiation, necessary optimality and suboptimality conditions for opt
The paper is devoted to the study of the so-called sequential normal compactness conditions in variational analysis in infinite-dimensional spaces. Such conditions are needed for many aspects of generalized differentiation, particularly for calculus rules involving normal cones to sets, subdifferent