Results 71 to 80 of about 528,162 (194)

A note on monotone solutions for a nonconvex second-order functional differential inclusion

Le Matematiche, 2011
The existence of monotone solutions for a second-order functional differential inclusion with Carath\'{e}odory perturbation is obtained in the case when the multifunction that define the inclusion is upper semicontinuous compact valued and contained in ...
Aurelian Cernea
doaj  

Fixed point results on nonlinear composition operators A ∘ B $A\circ B$ and applications

Journal of Inequalities and Applications
This paper investigates a class of composition operators: the nonlinear operator T = A ∘ B $T=A\circ B$ and the sum-type operator T = A ∘ B + C $T=A\circ B+C$ , where A, B, and C are either single or bivariate operators. Here, “∘” denotes the composition
Bibo Zhou, Yiping Du
doaj   +1 more source

A note on estimating a monotone regression by combining kernel and density estimates [PDF]

n.a.
Dette, Holger, Birke, Melanie
core  

A fixed point theorem for a class of differentiable stable operators in Banach spaces

Fixed Point Theory and Applications, 2006
We study Fréchet differentiable stable operators in real Banach spaces. We present the theory of linear and nonlinear stable operators in a systematic way and prove solvability theorems for operator equations with differentiable expanding operators.
Vadim Azhmyakov
doaj   +2 more sources

Algorithms for Solving the Resolvent of the Sum of Two Maximal Monotone Operators with a Finite Family of Nonexpansive Operators

Axioms
In this paper, we address a variational problem involving the sum of two maximal monotone operators combined with a finite family of nonexpansive operators. To solve this problem, we propose iterative algorithms based on single-valued mappings. First, we
Ali Berrailes, Abdallah Beddani
doaj   +1 more source

A note on multivalued monotone operators.

Michigan Mathematical Journal, 1970
info:eu-repo/semantics ...
openaire   +4 more sources

Hilbert Direct Integrals of Monotone Operators [PDF]

Finite Cartesian products of operators play a central role in monotone operator theory and its applications. Extending such products to arbitrary families of operators acting on different Hilbert spaces is an open problem, which we address by introducing
Bùi, Minh N., Combettes, Patrick L.
core   +1 more source

CONVERGENCE OF EXTRAGRADIENT ALGORITHM WITH MONOTONE STEP-SIZE STRATEGY FOR VARIATIONAL INEQUALITIES AND OPERATOR EQUATIONS

Міжнародний науково-технічний журнал "Проблеми керування та інформатики"
A variational inequalities and operator equations in an infinite dimensional Hilbert space with additional conditions for the type of inclusion in the set of fixed points of a given operator are considered. For an approximate solution of the problems, a
С.В. Денисов, Д.А. Номіровський, Б.В. Рубльов, В.В. Семенов   +3 more
doaj   +1 more source

On the monotone complexity of the shift operator

CoRR, 2019
7 pages (in English); 7 pages (in Russian); ver.
openaire   +3 more sources

Monotonicity of the Polaron Energy II: General Theory of Operator Monotonicity [PDF]

Journal of Statistical Physics, 2013
We construct a general theory of operator monotonicity and apply it to the Fröhlich polaron hamiltonian. This general theory provides a consistent viewpoint of the Fröhlich model.
openaire   +2 more sources