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Solving monotone inclusions involving the sum of three maximally monotone operators and a cocoercive operator with applications
In this paper, we propose two four-operator splitting algorithms for approaching the set of zeros of the sum of three maximally monotone operators...
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On Calculation of the Norm of a Monotone Operator in Ideal Spaces
This paper contains the proof of general results on the calculation of the norms of monotone operators acting from one ideal space to another under...
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A New Approach to Solving the Split Common Solution Problem for Monotone Operator Equations in Hilbert Spaces
In the present paper, we propose a new approach to solving a class of generalized split problems. This approach will open some new directions for...
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Inertial proximal point algorithm for the split common solution problem of monotone operator equations
This paper provides a new approach to solving the class of split problems. More precisely, we investigate the split common solution problem for...
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A short note on an adaptive damped Newton method for strongly monotone and Lipschitz continuous operator equations
We consider the damped Newton method for strongly monotone and Lipschitz continuous operator equations in a variational setting. We provide a very...
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Matrix Inequalities and Characterizations of Operator Monotone Functions
In this chapter, we give a series of new characterizations of operator monotone functions using matrix inequalities involving different Kubo-Ando...
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A Strong Law of Large Numbers for Random Monotone Operators
Random monotone operators are stochastic versions of maximal monotone operators which play an important role in stochastic nonsmooth optimization....
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents
This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation...
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An efficient projection algorithm for solving convex constrained monotone operator equations and sparse signal reconstruction problems
We propose an efficient three-term projection method for solving convex-constrained nonlinear monotone equations, with applications to sparse signal...
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On the solvability of a cantilever-type boundary value problem by using the mixed monotone operator
In the present paper, by using the mixed monotone operator method we prove the existence and uniqueness of positive solution to the following...
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Operator mean inequalities and Kwong functions
In this paper, we study operator mean inequalities for the weighted arithmetic, geometric, and harmonic means. We give a slight modification of...
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Existence and Relaxation of Solutions for a Differential Inclusion with Maximal Monotone Operators and Perturbations
AbstractA differential inclusion with a time-dependent maximal monotone operator and a perturbation is studied in a separable Hilbert space. The...
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On Fractional Evolution Inclusion Coupled with a Time and State Dependent Maximal Monotone Operator
The paper deals with second-order evolution problems driven by time and state dependent maximal monotone operators with non-Lipschitz perturbations....
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Periodic systems with time dependent maximal monotone operators
We consider a first order periodic system in ℝ N , involving a time dependent maximal monotone operator which need not have a full domain and a...
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A modification of the forward–backward splitting method for monotone inclusions
In this work, we propose a new splitting method for monotone inclusion problems with three operators in real Hilbert spaces, in which one is maximal...
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Regularized dynamics for monotone inverse variational inequalities in hilbert spaces
In this paper, we present a regularized dynamical system method for solving monotone inverse variational inequalities (IVIs) in infinite dimensional...
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Trilevel and multilevel optimization using monotone operator theory
We consider rather a general class of multi-level optimization problems, where a convex objective function is to be minimized subject to constraints...
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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...
