Results 41 to 50 of about 988 (114)

On relationships between two linear subspaces and two orthogonal projectors

Special Matrices, 2019
Sum and intersection of linear subspaces in a vector space over a field are fundamental operations in linear algebra. The purpose of this survey paper is to give a comprehensive approach to the sums and intersections of two linear subspaces and their ...
Tian Yongge
doaj   +1 more source

Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type

, 2011
We show that every maximally monotone operator of Fitzpatrick-Phelps type defined on a real Banach space must be of dense type. This provides an affirmative answer to a question posed by Stephen Simons in 2001 and implies that various important notions ...
Bauschke, Heinz H., Borwein, Jonathan M., Wang, Xianfu, Yao, Liangjin   +3 more
core   +2 more sources

Strong convergence to a solution of the inclusion problem for a finite family of monotone operators in Hadamard spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, in the setting of Hadamard spaces, a iterative scheme is proposed for approximating a solution of the inclusion problem for a finite family of monotone operators which is a unique solution of a variational inequality.
Ranjbar Sajad
doaj   +1 more source

Convergence theorem for common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappings

, 2014
In this paper, it is our purpose to introduce an iterative process for the approximation of a common fixed point of a finite family of multi-valued Bregman relatively nonexpansive mappings.
N. Shahzad, H. Zegeye
semanticscholar   +1 more source

Fixed points in the family of convex representations of a maximal monotone operator

, 2008
Any maximal monotone operator can be characterized by a convex function. The family of such convex functions is invariant under a transformation connected with the Fenchel-Legendre conjugation.
Svaiter, B. F.
core   +1 more source

Variant extragradient-type method for monotone variational inequalities

, 2013
Korpelevich’s extragradient method has been studied and extended extensively due to its applicability to the whole class of monotone variational inequalities.
Yonghong Yao, M. Postolache, Y. Liou
semanticscholar   +1 more source

Fitzpatrick transform of monotone relations in Hadamard spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In the present paper, monotone relations and maximal monotone relations from an Hadamard space to its linear dual space are investigated. Fitzpatrick transform of monotone relations in Hadamard spaces is introduced. It is shown that Fitzpatrick transform
Moslemipour A., Roohi M., Mardanbeigi M. R., Azhini M.   +3 more
doaj   +1 more source

Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type [PDF]

, 2013
Differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n are studied. Under a weakened monotonicity-type condition the existence of solutions is proved.Comment: 5 pages, 14 ...
Baier, Robert, Donchev, Tzanko, Farkhi, Elza   +2 more
core   +1 more source

Convex KKM maps, monotone operators and Minty variational inequalities

, 2015
It is known that for convex sets, the KKM condition is equivalent to the finite intersection property. We use this equivalence to obtain a characterisation of monotone operators in terms of convex KKM maps and in terms of the existence of solutions to ...
Lassonde, Marc
core   +1 more source

Fine properties of monotone maps arising in optimal transport for non-quadratic costs

Analysis and Geometry in Metric Spaces
The cost functions considered are c(x,y)=h(x−y)c\left(x,y)=h\left(x-y), where h∈C2(Rn)h\in {C}^{2}\left({{\mathbb{R}}}^{n}) is homogeneous of degree p≥2p\ge 2 with a positive definite Hessian in the unit sphere.
Gutiérrez Cristian E., Montanari Annamaria   +1 more
doaj   +1 more source