Metric regularity, fixed points and some associated problems of variational analysis

DOI10.1007/s11784-014-0186-zzbMath1311.49042OpenAlexW1978679769MaRDI QIDQ490042

Alexander D. Ioffe

Publication date: 21 January 2015

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-014-0186-z

zbMATH Keywords

set-valued mappingsvariational analysisdouble fixed pointmetric fixed-point theorynonlocal metric regularity

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (6)

METRIC REGULARITY—A SURVEY PART 1. THEORY ⋮ METRIC REGULARITY—A SURVEY PART II. APPLICATIONS ⋮ Multi-valued graph contraction principle with applications ⋮ Inverse of the Sum of Set-Valued Mappings and Applications ⋮ On primal regularity estimates for single-valued mappings ⋮ Stability Theorems for Estimating the Distance to a Set of Coincidence Points

Cites Work

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• Multi-valued contraction mappings
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• Regularity on a Fixed Set
• Implicit Functions and Solution Mappings
• LYUSTERNIK'S THEOREM AND THE THEORY OF EXTREMA
• An Inverse Mapping Theorem for Set-Valued Maps
• Metric regularity and subdifferential calculus

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