Results 1 to 10 of about 685,851 (101)

Structure of the antieigenvectors of a strictly accretive operator [PDF]

International Journal of Mathematics and Mathematical Sciences, 1998
A necessary and sufficient condition that a vector f is an antieigenvector of a strictly accretive operator A is obtained. The structure of antieigenvectors of selfadjoint and certain class of normal operators is also found in terms of eigenvectors. The
K. C. Das, M. Das Gupta, K. Paul
doaj   +5 more sources

Extensions of dissipative operators with closable imaginary part [PDF]

Opuscula Mathematica, 2021
Given a dissipative operator \(A\) on a complex Hilbert space \(\mathcal{H}\) such that the quadratic form \(f \mapsto \text{Im}\langle f, Af \rangle\) is closable, we give a necessary and sufficient condition for an extension of \(A\) to still be ...
Christoph Fischbacher
doaj   +3 more sources

Weak convergence of an iterative sequence for accretive operators in Banach spaces [PDF]

Fixed Point Theory and Applications, 2006
Let C be a nonempty closed convex subset of a smooth Banach space E and let A be an accretive operator of C into E. We first introduce the problem of finding a point u∈C such that 〈Au,J(v−u)〉≥0 for all v∈C ...
Wataru Takahashi, Hideaki Iiduka, Koji Aoyama   +2 more
doaj   +3 more sources

The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space

Journal of Inequalities and Applications, 2018
In this paper, we construct an iterative method by a generalized viscosity explicit rule for a countable family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space. We prove strong convergence theorems of proposed algorithm under
Wongvisarut Khuangsatung, Pongsakorn Sunthrayuth   +1 more
doaj   +2 more sources

Hybrid Extragradient Methods for Finding Zeros of Accretive Operators and Solving Variational Inequality and Fixed Point Problems in Banach Spaces [PDF]

Abstract and Applied Analysis, 2013
We introduce and analyze hybrid implicit and explicit extragradient methods for finding a zero of an accretive operator and solving a general system of variational inequalities and a fixed point problem of an infinite family of nonexpansive self-mappings
Lu-Chuan Ceng, Ching-Feng Wen
doaj   +2 more sources

Natural Lacunae Method and Schatten–Von Neumann Classes of the Convergence Exponent

Mathematics, 2022
Our first aim is to clarify the results obtained by Lidskii devoted to the decomposition on the root vector system of the non-selfadjoint operator. We use a technique of the entire function theory and introduce a so-called Schatten–von Neumann class of ...
Maksim V. Kukushkin
doaj   +1 more source

Evolution Equations in Hilbert Spaces via the Lacunae Method

Fractal and Fractional, 2022
In this paper, we consider evolution equations in the abstract Hilbert space under the special conditions imposed on the operator at the right-hand side of the equation.
Maksim V. Kukushkin
doaj   +1 more source

Modified forward-backward splitting midpoint method with superposition perturbations for the sum of two kinds of infinite accretive mappings and its applications

Journal of Inequalities and Applications, 2017
In a real uniformly convex and p-uniformly smooth Banach space, a modified forward-backward splitting iterative algorithm is presented, where the computational errors and the superposition of perturbed operators are considered.
Li Wei, Liling Duan, Ravi P Agarwal, Rui Chen, Yaqin Zheng   +4 more
doaj   +1 more source

Schatten Index of the Sectorial Operator via the Real Component of Its Inverse

Mathematics
In this paper, we study spectral properties of non-self-adjoint operators with the discrete spectrum. The main challenge is to represent a complete description of belonging to the Schatten class through the properties of the Hermitian real component. The
Maksim V. Kukushkin
doaj   +1 more source

Hybrid Viscosity Approximation Method for Zeros of m-Accretive Operators in Banach Spaces

Numerical Functional Analysis and Optimization, 2012
Jen-Chih Yao, Lu-Chuan Ceng, Qamrul Hasan Ansari   +2 more
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