The NC-proximal average for multiple functions

Compositions and averages of two resolvents: Relative geometry of fixed points sets and a partial answer to a question by C. Byrne

(2011) Xianfu Wang et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

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

(2011) Rafal Goebel et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Self-dual Regularization of Monotone Operators via the Resolvent Average

(2011) Xianfu Wang   SIAM JOURNAL ON OPTIMIZATION

Convexity of the Proximal Average

(2010) Jennifer A. Johnstone et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

Convex Hull Algorithms for Piecewise Linear-Quadratic Functions in Computational Convex Analysis

(2010) Bryan Gardiner et al.   Set-Valued and Variational Analysis

What Shape Is Your Conjugate? A Survey of Computational Convex Analysis and Its Applications

(2010) Yves Lucet   SIAM REVIEW

The resolvent average for positive semidefinite matrices

(2009) Heinz H. Bauschke et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Autoconjugate representers for linear monotone operators

(2009) Heinz H. Bauschke et al.   MATHEMATICAL PROGRAMMING

A Proximal Average for Nonconvex Functions: A Proximal Stability Perspective

(2009) W. L. Hare   SIAM JOURNAL ON OPTIMIZATION

The kernel average for two convex functions and its application to the extension and representation of monotone operators

(2009) Heinz H. Bauschke et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

The Proximal Average: Basic Theory

(2008) Heinz H. Bauschke et al.   SIAM JOURNAL ON OPTIMIZATION

How to Transform One Convex Function Continuously into Another

(2008) Heinz H. Bauschke et al.   SIAM REVIEW