Results 21 to 30 of about 25,465 (308)

Weak Convergence of a Relaxed and Inertial Hybrid Projection-Proximal Point Algorithm for Maximal Monotone Operators in Hilbert Space

SIAM Journal on Optimization, 2004
Felipe Álvarez
openalex   +4 more sources

On the maximality of the sum of two maximal monotone operators [PDF]

, 1990
In this paper we deal with the maximal monotonicity of A + B when the two maximal monotone operators A and B defined in a Hilbert space X are satisfying the condition: [fórmula disponible al document original] is a closed linear subspace of ...
Hassan, Riahi
core   +2 more sources

An Inertial Algorithm of Generalized f -Projection for Maximal Monotone Operators and Generalized Mixed Equilibrium Problems in Banach Spaces

African Scientific Reports, 2022
In this paper, we study a modified hybrid inertial algorithm of generalized f-projection for approximating maximal monotone operators and solutions of generalized mixed equilibrium problems in Banach spaces.
Lawal Umar, Tafida M. Kabir, Ibrahim U. Haruna   +2 more
doaj   +1 more source

NOTES ON GRAPH-CONVERGENCE FOR MAXIMAL MONOTONE OPERATORS [PDF]

Bulletin of the Australian Mathematical Society, 2010
AbstractWe construct a sequence {An} of maximal monotone operators with a common domain and converging, uniformly on bounded subsets, to another maximal monotone operator A; however, the sequence {t−1nAn} fails to graph-converge for some null sequence {tn}.
CIANCIARUSO, Filomena, MARINO, Giuseppe, MUGLIA L, XU H. K.   +3 more
openaire   +2 more sources

Strong convergence of an iterative sequence for maximal monotone operators in a Banach space

Abstract and Applied Analysis, 2004
We first introduce a modified proximal point algorithm for maximal monotone operators in a Banach space. Next, we obtain a strong convergence theorem for resolvents of maximal monotone operators in a Banach space which generalizes the previous result by ...
Fumiaki Kohsaka, Wataru Takahashi
doaj   +1 more source

Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A,η)-Maximal Relaxed Monotone Operators

Journal of Applied Mathematics, 2014
We introduce and study a class of new general systems of set-valued variational inclusions involving (A,η)-maximal relaxed monotone operators in Hilbert spaces.
Ting-jian Xiong, Heng-you Lan
doaj   +1 more source

A measure differential inclusion involving time-dependent maximal monotone operators [PDF]

, 2021
Dalila Azzam-Laouir
openalex   +2 more sources

Topological degree and application to a parabolic variational inequality problem

International Journal of Mathematics and Mathematical Sciences, 2001
We are interested in constructing a topological degree for operators of the form F=L+A+S, where L is a linear densely defined maximal monotone map, A is a bounded maximal monotone operators, and S is a bounded demicontinuous map of class (S+) with ...
A. Addou, B. Mermri
doaj   +1 more source

A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators [PDF]

Sahand Communications in Mathematical Analysis, 2019
In this paper, we consider a proximal point algorithm for finding a common zero of a finite family of maximal monotone operators in real Hilbert spaces. Also, we give a necessary and sufficient condition for the common zero set of finite operators to be ...
Mohsen Tahernia, Sirous Moradi, Somaye Jafari   +2 more
doaj   +1 more source

Monotonicity Arguments for Variational–Hemivariational Inequalities in Hilbert Spaces

Axioms, 2022
We consider a variational–hemivariational inequality in a real Hilbert space, which depends on two parameters. We prove that the inequality is governed by a maximal monotone operator, then we deduce various existence, uniqueness and equivalence results ...
Mircea Sofonea
doaj   +1 more source