An iterative method for solving \(H\)-differentiable inclusions
DOI10.1007/s12215-014-0161-yzbMath1311.49040OpenAlexW2092039512MaRDI QIDQ2255131
Publication date: 6 February 2015
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-014-0161-y
set-valued mappingsBanach fixed point theoremmetric regularityvariational inclusionsproximal point methodset convergenceouter norm\(H\)-differentiabilityvariational perturbations
Variational inequalities (49J40) Newton-type methods (49M15) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10) Programming in abstract spaces (90C48) Variational and other types of inclusions (47J22)
Cites Work
- Implicit multifunction theorems with positively homogeneous maps
- A Lyusternik-Graves theorem for the proximal point method
- A Newton iteration for differentiable set-valued maps
- Uniformity and inexact version of a proximal method for metrically regular mappings
- Generalized Differentiation with Positively Homogeneous Maps: Applications in Set-Valued Analysis and Metric Regularity
- Continuity and differentiability of set-valued maps revisited in the light of tame geometry
- Implicit Functions and Solution Mappings
- An Inverse Mapping Theorem for Set-Valued Maps
- Engineering and Economic Applications of Complementarity Problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Convergence of the Proximal Point Method for Metrically Regular Mappings
- Set-valued analysis
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