Results 341 to 350 of about 1,344,795 (373)

Generalized resolvent operator involving 𝒢(·,·)-co-monotone mapping for solving generalized variational inclusion problem

Georgian Mathematical Journal, 2022
In this paper, we define a generalized resolvent operator involving a 𝒢 ⁢ ( ⋅ , ⋅ ) {\mathcal{G}(\,\cdot\,,\cdot\,)} -co-monotone mapping for solving a generalized variational inclusion problem.
J. Iqbal, V. Mishra, Waseem Ali Mir, A. H. Dar, Mohd. Ishtyak, Laxmi Rathour   +5 more
semanticscholar   +1 more source

A Representation of the Resolvent Operator of Singular Hahn-Sturm-Liouville Problem

Numerical Functional Analysis and Optimization, 2020
In this article, we construct the resolvent operator of regular Hahn-Sturm-Liouville problem. Later we derive some properties of the resolvent operator.
B. Allahverdiev, H. Tuna
semanticscholar   +1 more source

Resolvents of Monotone Operators [PDF]

, 2011
Two quite useful single-valued, Lipschitz continuous operators can be associated with a monotone operator, namely its resolvent and its Yosida approximation. This chapter is devoted to the investigation of these operators. It exemplifies the tight interplay between firmly nonexpansive mappings and monotone operators.
Patrick L. Combettes, Heinz H. Bauschke
openaire   +1 more source

Approximation processes for resolvent operators

Calcolo, 2008
We introduce general sequences of linear operators obtained from classical approximation processes which are useful in the approximation of the resolvent operators of the generators of suitable C0-semigroups. The main aim is the representation of the resolvent operators in terms of classical approximation operators.
CAMPITI, Michele, TACELLI, CRISTIAN
openaire   +3 more sources

On the Formulation of the Resolvent Operator for Compressible Flows

AIAA SCITECH 2024 Forum
This paper investigates the non-uniqueness of resolvent analysis in the context of compressible fluid flows. Specifically, we compare two mathematically equivalent formulations of the compressible Navier-Stokes equations (NSEs) in two sets of flow ...
Diganta Bhattacharjee, Maziar S. Hemati
semanticscholar   +1 more source

Resolvent Positive Operators

Proceedings of the London Mathematical Society, 1987
Resolvent positive operators on an ordered Banach space (with generating and normal positive cone) are by definition linear (possibly unbounded) operators whose resolvent exists and is positive on a right half-line. Even though these operators are defined by a simple (purely algebraic) condition, analogues of the basic results of the theory of Q ...
openaire   +2 more sources

Resolvent splitting for sums of monotone operators with minimal lifting

Mathematical programming, 2021
In this work, we study fixed point algorithms for finding a zero in the sum of n≥2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
Yura Malitsky, Matthew K. Tam
semanticscholar   +1 more source

The Resolvent Operator

2017
This chapter describes the construction of a resolvent operator using the Laplace transform of a parametrix for the heat kernel and a perturbative argument. In the equation (μ‎-L) R(μ‎) f = f, R(μ‎) is a right inverse for (μ‎-L). In Hölder spaces, these are the natural elliptic estimates for generalized Kimura diffusions.
Charles L. Epstein, Rafe Mazzeo
openaire   +1 more source

Operators with resolvent of bounded characteristic

Integral Equations and Operator Theory, 1983
It is proved that if T is a bounded linear operator on a complex Banach space such that the sequence of norms {∥Tn∥, n = 1,2,⋯ } is of power growth, then the resolvent of T is of bounded characteristic on the open unit disc D in the complex plane, if and only if T is annihilated by a nonzero holomorphic function on D with infinitely differentiable ...
openaire   +2 more sources

Resolvent Operator Formulation of Stationary State Perturbation Theory

, 1964
By starting with an exact operator equation and using different methods of expanding the resolvent operator, the Schrodinger, Wigner—Brilloin, similarity transformation, gauge transformation, and first‐order perturbation iteration method, perturbation ...
R. Yaris
semanticscholar   +1 more source