Results 1 to 10 of about 149 (104)

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

J Inequal Appl, 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
Khuangsatung W, Sunthrayuth P.
europepmc   +2 more sources

Graph convergence with an application for system of variational inclusions and fixed-point problems

Journal of Inequalities and Applications, 2022
This paper aims at proposing an iterative algorithm for finding an element in the intersection of the solutions set of a system of variational inclusions and the fixed-points set of a total uniformly L-Lipschitzian mapping. Applying the concepts of graph
Javad Balooee, Jen-Chih Yao
doaj   +1 more source

General Nonlinear Random Equations with Random Multivalued Operator in Banach Spaces

Journal of Inequalities and Applications, 2009
We introduce and study a new class of general nonlinear random multivalued operator equations involving generalized m-accretive mappings in Banach spaces.
Heng-You Lan, Yeol Je Cho, Wei Xie
doaj   +2 more sources

Convergence analysis of three-step iteration with errors for variational inclusions with accretive operator equations

上海师范大学学报. 自然科学版, 2023
The purpose of this paper is to investigate a class of variational inclusions with ϕ accretive type mappings in the Banach space X. We prove the existence and uniqueness of solutions to the variational inclusions and the convergence of the three-step ...
XUE Zuhua
doaj   +1 more source

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   +1 more source

An Itô Formula for an Accretive Operator

Axioms, 2012
We give an Itô formula associated to a non-linear semi-group associated to a m-accretive operator.
Rémi Léandre
doaj   +1 more source

A new iterative method based on the modified proximal-point algorithm for finding a common null point of an infinite family of accretive operators in Banach spaces

Cubo, 2020
In this paper, we introduce and study a new iterative method for finding a common null point of an infinite family of accretive operators with a strongly accretive and Lipschitzian operator, by using the proximal-point algorithm.
T.M.M. Sow
doaj   +1 more source

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

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   +1 more source

System of Nonlinear Set-Valued Variational Inclusions Involving a Finite Family of H(·,·)-Accretive Operators in Banach Spaces

Journal of Applied Mathematics, 2012
We study a new system of nonlinear set-valued variational inclusions involving a finite family of H(·,·)-accretive operators in Banach spaces. By using the resolvent operator technique associated with a finite family of H(·,·)-accretive operators, we ...
Prapairat Junlouchai, Somyot Plubtieng
doaj   +1 more source

A New System of Nonlinear Fuzzy Variational Inclusions Involving (A,η)-Accretive Mappings in Uniformly Smooth Banach Spaces

Journal of Inequalities and Applications, 2009
A new system of nonlinear fuzzy variational inclusions involving (A,η)-accretive mappings in uniformly smooth Banach spaces is introduced and studied many fuzzy variational and variational inequality (inclusion) problems as special cases of this ...
M. Roohi, M. Alimohammady, J. Balooee, Y. J. Cho   +3 more
doaj   +1 more source