48 citations · 108 across the 29 of their papers we have counts for
30 papers
Maximality of the sum of the subdifferential operator and a maximally monotone operator
Liangjin Yao
The most important open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that the classical Rockafellar…
Characterizations of ultramaximally monotone operators
Liangjin Yao
In this paper, we study properties of ultramaximally monotone operators. We characterize the interior and the closure of the range of an ultramaximally monotone operator. We establ…
Sum theorems for maximally monotone operators of type (FPV)
Jonathan M. Borwein, Liangjin Yao
The most important open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that the classical Rockafellar…
Analysis of the convergence rate for the cyclic projection algorithm applied to basic semi-algebraic convex sets
Jonathan M. Borwein, Guoyin Li, Liangjin Yao
In this paper, we study the rate of convergence of the cyclic projection algorithm applied to finitely many basic semi-algebraic convex sets. We establish an explicit convergence r…
Applications of Convex Analysis within Mathematics
Francisco J. Aragón Artacho, Jonathan M. Borwein, Victoria Martín-Márquez +1
In this paper, we study convex analysis and its theoretical applications. We first apply important tools of convex analysis to Optimization and to Analysis. We then show various de…
Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator
Jonathan M. Borwein, Liangjin Yao
The most famous open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that Rockafellar's constraint qua…