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On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming
Second-order necessary optimality conditions for nonlinear conic programming problems that depend on a single Lagrange multiplier are usually built...
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Generalized damped Newton algorithms in nonsmooth optimization via second-order subdifferentials
The paper proposes and develops new globally convergent algorithms of the generalized damped Newton type for solving important classes of nonsmooth...
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Second-order characterization of convex map**s in Banach spaces and its applications
We show that the positive semi-definiteness of the regular or limiting (Mordukhovich) second-order subdifferential of an approximately convex...
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Forward-partial inverse-half-forward splitting algorithm for solving monotone inclusions
In this paper we provide a splitting algorithm for solving coupled monotone inclusions in a real Hilbert space involving the sum of a normal cone to...
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Invariant Closed Sets with Respect to Differential Inclusions with Time-Dependent Maximal Monotone Operators
The main purpose of the present paper is the characterization, in the finite dimensional setting, of weak and strong invariance of closed sets with...
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Unified convergence analysis of a second-order method of multipliers for nonlinear conic programming
In this paper, we accomplish the unified convergence analysis of a second-order method of multipliers (i.e., a second-order augmented Lagrangian...
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Second Order Two-Species Systems with Nonlocal Interactions: Existence and Large Dam** Limits
We study the mathematical theory of second order systems with two species, arising in the dynamics of interacting particles subject to linear...
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Third Order Dynamical Systems for the Sum of Two Generalized Monotone Operators
In this paper, we propose and analyze a third-order dynamical system for finding zeros of the sum of two generalized operators in a Hilbert space
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On the proximal map** for multi-valued monotone variational inequality problems
We extend the concept of the proximal map** of a real valued function on a convex set to the one of a multi-valued operator, and study its fixed...
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Representations for Maximal Monotone Operators of Type (D) in Banach Spaces
The present paper deals with a maximal monotone operator A of type (D) in a Banach space whose dual space is strictly convex. We establish some...
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Two-step inertial forward–reflected–anchored–backward splitting algorithm for solving monotone inclusion problems
The main purpose of this paper is to propose and study a two-step inertial anchored version of the forward–reflected–backward splitting algorithm of...
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Korovkin-Type Theorems for Weakly Nonlinear and Monotone Operators
In this paper we prove analogs of Korovkin’s theorem in the context of weakly nonlinear and monotone operators acting on Banach lattices of functions...
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On the comparison principle for second order elliptic equations without first and zeroth order terms
We consider the comparison principle for semicontinuous viscosity sub- and supersolutions of second order elliptic equations on the form
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Monotone Meshfree Methods for Linear Elliptic Equations in Non-divergence Form via Nonlocal Relaxation
We design a monotone meshfree finite difference method for linear elliptic equations in the non-divergence form on point clouds via a nonlocal...
