Regularity on a Fixed Set

DOI10.1137/110820981zbMath1275.49028OpenAlexW1997340235MaRDI QIDQ3225234

Alexander D. Ioffe

Publication date: 16 March 2012

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110820981

zbMATH Keywords

set-valued mapsfixed-pointvariational analysismetric regularitylinear opennesscoincidence theoremLipschitz properties

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Set-valued operators (47H04) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (23)

Metric subregularity of composition set-valued mappings with applications to fixed point theory ⋮ An Induction Theorem and Nonlinear Regularity Models ⋮ Nonlinear regularity models ⋮ Projectional coderivatives and calculus rules ⋮ Nonlinear metric regularity on fixed sets ⋮ Coincidence and fixed points of set-valued mappings via regularity in metric spaces ⋮ Chain rules for linear openness in metric spaces and applications ⋮ METRIC REGULARITY—A SURVEY PART 1. THEORY ⋮ METRIC REGULARITY—A SURVEY PART II. APPLICATIONS ⋮ Unnamed Item ⋮ The coincidence point problem for set-valued mappings and Ulam-Hyers stability ⋮ Metric regularity, fixed points and some associated problems of variational analysis ⋮ On primal regularity estimates for single-valued mappings ⋮ Separable Reduction of Metric Regularity Properties ⋮ Convexity and Variational Analysis ⋮ Metric regularity of composition set-valued mappings: metric setting and coderivative conditions ⋮ A convergent relaxation of the Douglas-Rachford algorithm ⋮ Necessary conditions for linear convergence of iterated expansive, set-valued mappings ⋮ REGULARITY PROPERTIES IN VARIATIONAL ANALYSIS AND APPLICATIONS IN OPTIMISATION ⋮ Quantitative Convergence Analysis of Iterated Expansive, Set-Valued Mappings ⋮ Error bounds and metric subregularity ⋮ \( \alpha \)-firmly nonexpansive operators on metric spaces ⋮ Stability Theorems for Estimating the Distance to a Set of Coincidence Points

This page was built for publication: Regularity on a Fixed Set