DOI10.1007/978-0-387-69757-4zbMath1154.49001OpenAlexW592924277MaRDI QIDQ2463938
Alfredo Noel Iusem, Regina Sandra Burachik
Publication date: 6 December 2007
Published in: Springer Optimization and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-0-387-69757-4
A study of multivalued variational inequalities via horizon maps and graphical convergence ⋮
Strongly Nonexpansive Mappings Revisited: Uniform Monotonicity and Operator Splitting ⋮
Representative functions, variational convergence and almost convexity ⋮
Logarithmic expansion, entropy, and dimension for set-valued maps ⋮
From Halpern's fixed-point iterations to Nesterov's accelerated interpretations for root-finding problems ⋮
Enlargements: a bridge between maximal monotonicity and convexity ⋮
The Resolvent Order: A Unification of the Orders by Zarantonello, by Loewner, and by Moreau ⋮
New Demiclosedness Principles for (Firmly) Nonexpansive Operators ⋮
On Algorithms for Difference of Monotone Operators ⋮
On Algorithms for Difference of Monotone Operators ⋮
Monotone relations in Hadamard spaces ⋮
Bilateral set-valued stochastic integral equations ⋮
A bundle method using two polyhedral approximations of the \(\epsilon \)-enlargement of a maximal monotone operator ⋮
On injectivity of a class of monotone operators with some univalency consequences ⋮
On the minimal displacement vector of compositions and convex combinations of nonexpansive mappings ⋮
On the Douglas-Rachford algorithm ⋮
An answer to S. Simons' question on the maximal monotonicity of the sum of a maximal monotone linear operator and a normal cone operator ⋮
The Brézis-Browder Theorem Revisited and Properties of Fitzpatrick Functions of Order n ⋮
A relaxed-projection splitting algorithm for variational inequalities in Hilbert spaces ⋮
When do the Banach lattices \(C([0,\alpha,X)\) determine the ordinal intervals \([0,\alpha]\)?] ⋮
Near fixed point theorems in hyperspaces ⋮
On existence and structure of semiattractors for dynamical systems represented by cocycles ⋮
OPTIMAL CONTROL OF SEMILINEAR HIGHER-ORDER DIFFERENTIAL INCLUSIONS ⋮
Enlargement of monotone vector fields and an inexact proximal point method for variational inequalities in Hadamard manifolds ⋮
Algebraic core and convex calculus without topology ⋮
On Bregman-type distances for convex functions and maximally monotone operators ⋮
Variational convergence for vector-valued functions and its applications to convex multiobjective optimization ⋮
An algorithm for best generalised rational approximation of continuous functions ⋮
Limits of eventual families of sets with application to algorithms for the common fixed point problem ⋮
Unnamed Item ⋮
Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings ⋮
Forcing strong convergence of Korpelevich's method in Banach spaces with its applications in game theory ⋮
The difference vectors for convex sets and a resolution of the geometry conjecture ⋮
Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular ⋮
Weak sharp solutions for variational inequalities in Banach spaces ⋮
Fifty years of maximal monotonicity ⋮
A projection algorithm for non-monotone variational inequalities ⋮
Hybrid approximate proximal method with auxiliary variational inequality for vector optimization ⋮
Linear conditioning, weak sharpness and finite convergence for equilibrium problems ⋮
On supports of evolution systems of measures for converging in law non-homogenous Markov processes ⋮
Stability and robustness for saddle-point dynamics through monotone mappings ⋮
Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type ⋮
Affine nonexpansive operators, Attouch-Théra duality and the Douglas-Rachford algorithm ⋮
On Douglas-Rachford operators that fail to be proximal mappings ⋮
Modified basic projection methods for a class of equilibrium problems ⋮
Weak sharp solutions for generalized variational inequalities ⋮
On a sufficient condition for equality of two maximal monotone operators ⋮
A generalized univariate Newton method motivated by proximal regularization ⋮
A class of Benders decomposition methods for variational inequalities ⋮
Weak forms of Banach-Stone theorem for \(C_{0}(K,X)\) spaces via the \(\alpha\)th derivatives of \(K\) ⋮
Approximate solutions in set-valued optimization problems with applications to maximal monotone operators ⋮
Asymptotic properties of multifunctions, families of measures and Markov operators associated with cocycles ⋮
Semiattractors of set-valued semiflows ⋮
Constraint augmentation in pseudo-singularly perturbed linear programs ⋮
An additive subfamily of enlargements of a maximally monotone operator ⋮
The Brezis-Browder theorem in a general Banach space ⋮
Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality ⋮
Activity Identification and Local Linear Convergence of Forward--Backward-type Methods ⋮
CHARACTERIZATIONS OF QUASICONVEX AND PSEUDOCONVEX FUNCTIONS BY THEIR SECOND-ORDER REGULAR SUBDIFFERENTIALS ⋮
Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator ⋮
The sum of a maximal monotone operator of type (FPV) and a maximal monotone operator with full domain is maximal monotone ⋮
Some results on the convexity of the closure of the domain of a maximally monotone operator ⋮
An inexact modified subgradient algorithm for primal-dual problems via augmented Lagrangians ⋮
Structure theory for maximally monotone operators with points of continuity ⋮
A note on the Conley attractors of lower semicontinuous multifunctions ⋮
An extragradient-type algorithm for variational inequality on Hadamard manifolds ⋮
Subdifferentials with autoconjugate Fitzpatrick function ⋮
Attouch-Théra duality revisited: Paramonotonicity and operator splitting ⋮
The sum of a maximally monotone linear relation and the subdifferential of a proper lower semicontinuous convex function is maximally monotone ⋮
Stochastic optimization over a Pareto set associated with a stochastic multi-objective optimization problem ⋮
General proximal-point algorithm for monotone operators ⋮
Full convergence of an approximate projection method for nonsmooth variational inequalities ⋮
Applications of convex analysis within mathematics ⋮
\(\varepsilon \)-subdifferential as an enlargement of the subdifferential ⋮
Generalized monotone operators and their averaged resolvents ⋮
Generalized Bregman envelopes and proximity operators ⋮
The Generalized Bregman Distance ⋮
Finite convergence of the proximal point algorithm for variational inequality problems ⋮
Interior proximal method without the cutting plane property ⋮
Minimal invariant closed sets of set-valued semiflows ⋮
The forward-backward algorithm and the normal problem ⋮
Generalized variational-like inclusion involving relaxed monotone operators ⋮
Projected viscosity subgradient methods for variational inequalities with equilibrium problem constraints in Hilbert spaces ⋮
Metric regularity of the sum of multifunctions and applications ⋮
Construction of pathological maximally monotone operators on non-reflexive Banach spaces ⋮
Convergence of direct methods for paramonotone variational inequalities ⋮
Stability results for polyhedral complementarity problems ⋮
Douglas-Rachford splitting for the sum of a Lipschitz continuous and a strongly monotone operator ⋮
Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization ⋮
The Resolvent Average of Monotone Operators: Dominant and Recessive Properties ⋮
Unnamed Item ⋮
On the linear convergence of forward-backward splitting method. I: Convergence analysis ⋮
Asymptotic stability of discrete cocycles ⋮
The Douglas--Rachford Algorithm for Two (Not Necessarily Intersecting) Affine Subspaces ⋮
The magnitude of the minimal displacement vector for compositions and convex combinations of firmly nonexpansive mappings ⋮
On Hadamard well-posedness of families of Pareto optimization problems ⋮
On the positive definiteness of limiting coderivative for set-valued mappings ⋮
On the FPV property, monotone operator structure and the monotone polar of representable monotone sets ⋮
Enlargements of the Moreau-Rockafellar subdifferential ⋮
Resolvents and Yosida approximations of displacement mappings of isometries ⋮
Enlargements of positive sets ⋮
On convergence and complexity analysis of an accelerated forward-backward algorithm with linesearch technique for convex minimization problems and applications to data prediction and classification ⋮
Horizon Maps and Graphical Convergence Revisited ⋮
Adaptive Douglas--Rachford Splitting Algorithm for the Sum of Two Operators ⋮
New proximal type algorithms for convex minimization and its application to image deblurring ⋮
Metric regularity relative to a cone ⋮
Unnamed Item ⋮
Existence for nonlinear evolution equations and application to degenerate parabolic equation ⋮
On a decomposition formula for the resolvent operator of the sum of two set-valued maps with monotonicity assumptions ⋮
Conical averagedness and convergence analysis of fixed point algorithms ⋮
Topological entropy for set-valued maps