The optimal value and optimal solutions of the proximal average of convex functions

DOI10.1016/j.na.2011.06.017zbMath1254.90165OpenAlexW1969722865MaRDI QIDQ654069

Rafal Goebel, Warren L. Hare, Shawn Xianfu Wang

Publication date: 21 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.06.017

zbMATH Keywords

parametric optimizationminimaconvex functionMoreau envelopesharp minimaproximal average

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Regularity of solutions in optimal control (49N60) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25)

Related Items

Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings ⋮ The NC-proximal average for multiple functions ⋮ The Resolvent Average of Monotone Operators: Dominant and Recessive Properties ⋮ Computation of the epsilon-subdifferential of convex piecewise linear-quadratic functions in optimal worst-case time

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