Results 31 to 40 of about 492,185 (297)

Asplund Decomposition of Monotone Operators

SIAM Journal on Optimization, 2007
We establish representations of a monotone mapping as the sum of a maximal subdifferential mapping and a “remainder” monotone mapping, where the remainder is “acyclic” in the sense that it contains no nontrivial subdifferential component. This is the nonlinear analogue of a skew linear operator.
Jonathan M. Borwein, Herre Wiersma
openaire   +2 more sources

Monotone Operators Without Enlargements [PDF]

, 2013
26 ...
Borwein, Jonathan M., Burachik , Regina S., Yao, Liangjin   +2 more
openaire   +2 more sources

On the sum of monotone operators.

Michigan Mathematical Journal, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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

Capacity Theory for Monotone Operators

Potential Analysis, 1997
42 pages, plain TeX, no ...
Dal Maso, Gianni, SKRYPNIK I. V.
openaire   +3 more sources

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

Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane, Salama Makni, Mourad Kchaou, Ahmed El Hajjaji   +3 more
wiley   +1 more source

Monotone versus non‐monotone projective operators

Bulletin of the London Mathematical Society
AbstractFor a class of operators , let denote the closure ordinal of ‐inductive definitions. We give upper bounds on the values of and under the assumption that all projective sets of reals are determined, significantly improving the known results.
J. P. Aguilera, P. D. Welch
openaire   +3 more sources

Extensions of monotone operator functions

, 1976
It is shown that a monotone operator function f f defined on an open subset Δ \Delta of the real numbers may be extended to a monotone operator function on the convex hull of Δ \Delta .
J. D. Chandler
core   +1 more source