Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Implicit Function Theorems for Continuous Mappings and Their Applications. |
| Συγγραφείς: |
Arutyunov, A. V., Zhukovskiy, S. E., Mordukhovich, B. Sh. |
| Πηγή: |
Mathematical Notes; Jun2023, Vol. 113 Issue 5/6, p749-759, 11p |
| Θεματικοί όροι: |
Continuous functions, Implicit functions |
| Περίληψη: |
Local and nonlocal implicit function theorems are obtained for closed mappings with a parameter from one Asplund space to another. These theorems are formulated in terms of the regular coderivative of a mapping at a point. The obtained results are applied to study properties of the minimum function for a constrained extremum problem with equality-type constraints and with a parameter. Sufficient conditions for the upper semicontinuity of the minimum function for a given parameter value are obtained. [ABSTRACT FROM AUTHOR] |
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| Βάση Δεδομένων: |
Complementary Index |