Complexity of the relaxed Peaceman–Rachford splitting method for the sum of two maximal strongly monotone operators
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DOI: 10.1007/s10589-018-9996-z
Abstract: This paper considers the relaxed Peaceman–Rachford (PR) splitting method for finding an approximate solution of a monotone inclusion whose underlying operator consists of the sum of two maximal strongly monotone operators. Using general results obtained… read more here.
Keywords: splitting method; relaxed peaceman; peaceman rachford; monotone ... See more keywords
Third Order Dynamical Systems for the Sum of Two Generalized Monotone Operators
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DOI: 10.1007/s10957-024-02437-y
Abstract: 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 H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal… read more here.
Keywords: order dynamical; third order; two generalized; sum two ... See more keywords
New fixed point theorems for the sum of two mixed monotone operators of Meir–Keeler type and their applications to nonlinear elastic beam equations
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DOI: 10.1007/s11784-020-00835-z
Abstract: In this paper, we present a new fixed point theorem for the sum of two mixed monotone operators of Meir–Keeler type on ordered Banach spaces through projective metric, which extends the existing corresponding results. As… read more here.
Keywords: two mixed; new fixed; sum two; mixed monotone ... See more keywords
Inertial methods for fixed point problems and zero point problems of the sum of two monotone mappings
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DOI: 10.1080/02331934.2019.1573240
Abstract: ABSTRACT The purpose of this paper is to investigate the problem of finding a common element of the set of zero points of the sum of two operators and the fixed point set of a… read more here.
Keywords: inertial methods; sum two; point problems; methods fixed ... See more keywords
B-essential and B-Weyl pseudo-spectra for the sum of two commuting bounded operators
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DOI: 10.2298/fil2433693d
Abstract: This paper is dedicated to investigating the pseudo-B-essential spectra of the sum of two bounded linear operators defined on a Banach space. This investigation is carried out by examining the pseudo-B-essential spectra of each individual… read more here.
Keywords: pseudo spectra; spectra sum; essential weyl; sum two ... See more keywords
Algorithms for Solving the Resolvent of the Sum of Two Maximal Monotone Operators with a Finite Family of Nonexpansive Operators
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DOI: 10.3390/axioms14110783
Abstract: In this paper, we address a variational problem involving the sum of two maximal monotone operators combined with a finite family of nonexpansive operators. To solve this problem, we propose iterative algorithms based on single-valued… read more here.
Keywords: finite family; two maximal; monotone operators; sum two ... See more keywords