Results 111 to 120 of about 528,162 (194)

Strong Convergence Theorem by Monotone Hybrid Algorithm for Equilibrium Problems, Hemirelatively Nonexpansive Mappings, and Maximal Monotone Operators

Fixed Point Theory and Applications, 2008
We introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of hemirelatively nonexpansive mappings and the set of solutions of an equilibrium problem and for finding a common element of the set of zero points ...
Cheng Yun, Tian Ming
doaj  

An abstract convex representation of maximal abstract monotone operators

, 2011
In this paper, we develop a theory of monotone operators in the framework of abstract convexity. We present a definition for abstract monotone operators and some examples of an abstract convex function such that its subdifferential is a maximal abstract ...
Andrew Eberhard (18026932), Hossein Mohebi (11244414)   +1 more
core  

Uniquely representable Maximal Monotone Operators

For a monotone operator A : X ⇒ X*, we define FA as the family of all representations of A through convex lower semicontinuous functions on X × X*. These representations facilitate the application of convex analysis techniques in the study of monotone ...
Armeniakos, Sotirios
core   +1 more source

МОНОТОННЫЕ ОПЕРАТОРЫ В ПАРАНОРМИРОВАННЫХ ПРОСТРАНСТВАХ С КОНУСОМ

Проблемы анализа, 2007
Some fixed point theorems for monotone operators in paranormed spaces with a cone are proved.
МОСЯГИН В.В., ШИРОКОВ Б.М.   +1 more
doaj  

New fixed points of mixed monotone operators with applications to nonlinear integral equations. [PDF]

PLoS One
Xu S, Han Y, Lin S, Zhou G.
europepmc   +1 more source

A second-order dynamical system for solving inverse quasi-variational inequalities and its application. [PDF]

PLoS One
Gan T, Khan VK, Ahmad MK, Cai QB.
europepmc   +1 more source

Area Law for the Entanglement Entropy of Free Fermions in Nonrandom Ergodic Field. [PDF]

Entropy (Basel)
Pastur L, Shamis M.
europepmc   +1 more source

Monotone Peridynamic Neural Operator for Nonlinear Material Modeling with Conditionally Unique Solutions. [PDF]

Comput Methods Appl Mech Eng
Wang J, Tian X, Zhang Z, Silling S, Jafarzadeh S, Yu Y.   +5 more
europepmc   +1 more source

Geometric Aspects of Entanglement. [PDF]

Entropy (Basel)
De Simone L, Capra L, Vesperini A, Rossi L, Di Cairano L, Franzosi R.   +5 more
europepmc   +1 more source

Rectangularity and paramonotonicity of maximally monotone operators

, 2012
Maximally monotone operators play a key role in modern optimization and variational analysis. Two useful subclasses are rectangular (also known as star monotone) and paramonotone operators, which were introduced by Brezis and Haraux, and by Censor, Iusem
Heinz H. Bauschke, Liangjin Yao, Xianfu Wang   +2 more
core