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Metric Projections and the Gradient Projection Method in Banach Spaces

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-662-09000-8openalex-snapshot
Normed Linear Spaces
inferredcites →https://doi.org/10.1007/bf01404401openalex-snapshot
The metric gradient in normed linear spaces
inferredcites →https://doi.org/10.1007/bf01681347openalex-snapshot
An extension of Curry's theorem to steepest descent in normed linear spaces
inferredcites →https://doi.org/10.1007/bfb0082079openalex-snapshot
Geometry of Banach Spaces-Selected Topics
inferredcites →https://doi.org/10.1016/0022-1236(76)90017-3openalex-snapshot
Contrôle dans les inéquations variationelles elliptiques
inferredcites →https://doi.org/10.1016/b978-0-12-775850-3.50013-3openalex-snapshot
Projections on Convex Sets in Hilbert Space and Spectral Theory: Part I. Projections on Convex Sets: Part II. Spectral Theory
inferredcites →https://doi.org/10.1080/00029890.1982.11995475openalex-snapshot
At What Points is the Projection Mapping Differentiable?
inferredcites →https://doi.org/10.1137/0310009openalex-snapshot
The Gradient Projection Method under Mild Differentiability Conditions
inferredcites →https://doi.org/10.1137/0324042openalex-snapshot
The Gradient Projection Method Using Curry’s Steplength
inferredcites →https://doi.org/10.2969/jmsj/02940615openalex-snapshot
How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1006/jath.1998.3201openalex-snapshot
Proximal Mappings
inferred← citeshttps://doi.org/10.1007/978-1-4613-0239-1_12openalex-snapshot
Time Dependent Variational Inequalities — Some Recent Trends
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_1openalex-snapshot
Metric and Topological Tools
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_2openalex-snapshot
Elements of Differential Calculus
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_3openalex-snapshot
Elements of Convex Analysis
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_4openalex-snapshot
Elementary and Viscosity Subdifferentials
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_5openalex-snapshot
Circa-Subdifferentials, Clarke Subdifferentials
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_6openalex-snapshot
Limiting Subdifferentials
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_7openalex-snapshot
Graded Subdifferentials, Ioffe Subdifferentials
inferred← citeshttps://doi.org/10.1007/978-94-009-4632-3_9openalex-snapshot
Best Approximation and Cones in Banach Spaces
inferred← citeshttps://doi.org/10.1007/978-94-015-8577-4_23openalex-snapshot
On the Order Monotonicity of the Metric Projection Operator
inferred← citeshttps://doi.org/10.1007/bf01314819openalex-snapshot
Paths to constrained Nash equilibria
inferred← citeshttps://doi.org/10.1007/bf01581092openalex-snapshot
On finite convergence and constraint identification of subgradient projection methods
inferred← citeshttps://doi.org/10.1007/s11117-007-2109-3openalex-snapshot
Inequalities Characterizing Coisotone Cones in Euclidean Spaces
inferred← citeshttps://doi.org/10.1016/0021-9045(84)90057-1openalex-snapshot
Openness of the metric projection in certain Banach spaces
inferred← citeshttps://doi.org/10.1023/a:1006692403058openalex-snapshot
On the Property of Four Elements in Modular Spaces
inferred← citeshttps://doi.org/10.1023/a:1020570126636openalex-snapshot
On the Convergence of Descent Algorithms
inferred← citeshttps://doi.org/10.1080/01630563.2024.2384861openalex-snapshot
Stabilized SQP Methods in Hilbert Spaces
inferred← citeshttps://doi.org/10.1090/s0002-9939-1987-0866441-7openalex-snapshot
On differentiability of metric projections in 𝑅ⁿ. I. Boundary case
inferred← citeshttps://doi.org/10.1137/0324042openalex-snapshot
The Gradient Projection Method Using Curry’s Steplength
inferred← citeshttps://doi.org/10.1137/0326037openalex-snapshot
Sensitivity Analysis of Nonlinear Programs and Differentiability Properties of Metric Projections
inferred← citeshttps://doi.org/10.1137/16m1092301openalex-snapshot
An Extension of the Projected Gradient Method to a Banach Space Setting with Application in Structural Topology Optimization
inferred← citeshttps://doi.org/10.1155/2008/192679openalex-snapshot
Minimization of Tikhonov Functionals in Banach Spaces
inferred← citeshttps://doi.org/10.1155/s1085337598000451openalex-snapshot
Characterizations of metric projections in Banach spaces and applications
inferred← citeshttps://doi.org/10.4208/jcm.v25.n2.p221openalex-snapshot
A Note on the Gradient Projection Method with Exact Stepsize Rule
inferred← citeshttps://doi.org/10.48550/arxiv.1710.07367openalex-snapshot
Convergence Analysis of the Frank-Wolfe Algorithm and Its Generalization in Banach Spaces
inferred← citeshttps://doi.org/10.7153/mia-01-06openalex-snapshot
Inequalities related to isotonicity of projection and antiprojection operators
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