Results 31 to 40 of about 524,848 (251)

Approximating Iterations for Nonexpansive and Maximal Monotone Operators

Abstract and Applied Analysis, 2015
We present two algorithms for finding a zero of the sum of two monotone operators and a fixed point of a nonexpansive operator in Hilbert spaces. We show that these two algorithms converge strongly to the minimum norm common element of the zero of the ...
Zhangsong Yao, Sun Young Cho, Shin Min Kang, Li-Jun Zhu   +3 more
doaj   +1 more source

The Range of a Monotone Operator

Journal of Mathematical Analysis and Applications, 1996
The author's aim is to generalize a standard result on the convexity of the range of a maximal monotone operator from reflexive to nonreflexive space. To this end he generalizes the notion of a maximal monotone operator and proceeds with purely functional analytic arguments.
openaire   +1 more source

On the sum of monotone operators.

Michigan Mathematical Journal, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Two step inertial Tseng method for solving monotone variational inclusion problem

Results in Applied Mathematics
In this paper, we examine the monotone variational inclusion problem with a maximal monotone operator and a Lipschitz continuous monotone operator. We propose two different iterative algorithms for solving the monotone variational inclusion problem ...
Lehlogonolo Mokaba, Hammed Anuoluwapo Abass, Abubakar Adamu   +2 more
doaj   +1 more source

Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators

Abstract and Applied Analysis, 2009
We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method.
Chakkrid Klin-eam, Suthep Suantai, Wataru Takahashi   +2 more
doaj   +1 more source

Monotone operator equilibrium networks

CoRR, 2020
NeurIPS ...
Ezra Winston, J. Zico Kolter
openaire   +3 more sources

A remark on rational operator monotone functions [PDF]

Recently, M. Nagisa presented the general form of rational operator monotone functions for any open interval in ℝ= (−∞,∞), directly deduced from the property of Pick function.
NAKAMURA, Noboru, 165114
core   +1 more source

Equilibrium of maximal monotone operator in a given set [PDF]

, 2000
Sufficient conditions for an equilibrium of maximal monotone operator to be in a given set are provided. This partially answers to a question posed in [10]
Zagrodny, Dariusz
core   +1 more source

Sex‐Stratified Association of Regional Dopamine Transporter Binding With Disease Progression in Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To clarify the clinical relevance of dopamine transporter single‐photon emission computed tomography (DAT‐SPECT) abnormalities in amyotrophic lateral sclerosis (ALS), with a prespecified focus on sex‐stratified associations with disease progression and short‐term prognosis.
Tomoya Kawazoe, Keizo Sugaya, Kentaro Hayashi, Keiko Hino, Yasuhiro Nakata, Kota Bokuda, Toshio Shimizu, Kazushi Takahashi   +7 more
wiley   +1 more source

Convergence analysis of a variable metric forward–backward splitting algorithm with applications

Journal of Inequalities and Applications, 2019
The forward–backward splitting algorithm is a popular operator-splitting method for solving monotone inclusion of the sum of a maximal monotone operator and an inverse strongly monotone operator.
Fuying Cui, Yuchao Tang, Chuanxi Zhu
doaj   +1 more source