نتایج جستجو برای: m accretive operators

تعداد نتایج: 631569  

Journal: :International Journal of Applied Mathematics 2021

In this paper we aim to construct an abstract model of a differential operator with fractional integro-differential composition in final terms, where modeling is understood as interpretation concrete operators terms the infinitesimal generator corresponding semigroup. We study such Kipriyanov operator, Riesz potential, difference operator. Along this, consider transforms m-accretive generalizat...

Journal: :Filomat 2022

We establish some relationships between an m-accretive operator and its Moore-Penorse inverse. derive perturbation result the inverse of a maximal accretive operator. As application we give factorization theorem for quadratic pencil operators. Also, study existence, uniqueness, regularity strict solution complete abstract second order differential equation. Illustrative examples are also given.

Journal: :Int. J. Math. Mathematical Sciences 2004
Charles E. Chidume Kaleem Raza Kazmi Habtu Zegeye

We introduce a class of η-accretive mappings in a real Banach space and show that the η-proximal point mapping for η-m-accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational-like inclusions involving ηaccretive mappings in real Banach space, and discuss its convergence criteria. The class of η-accretivemappings includes several i...

2010
ATHANASSIOS G. KARTSATOS A. G. KARTSATOS

Several mapping results are given involving compact perturbations and compact resolvents of accretive and m-accretive operators. A simple and straightforward proof is given to an important special case of a result of Morales who has recently improved and/or extended various results by the author and Hirano. Improved versions of results of Browder and Morales are shown to be possible by studying...

2017
Li Yang Fuhai Zhao L. Yang F. H. Zhao

The purpose of this paper is to introduce a viscosity approximation forward-backward splitting method for the implicit midpoint rule of an accretive operators and m-accretive operators in Banach spaces. The strong convergence of this viscosity method is proved under certain assumptions imposed on the sequence of parameters. The results presented in the paper extend and improve some recent resul...

Journal: :Journal of Mathematical Analysis and Applications 2005

Journal: :Journal of Mathematical Analysis and Applications 1980

Journal: :Proceedings of the Edinburgh Mathematical Society 2001

Journal: :Proceedings of the American Mathematical Society 2005

2013
Yixin Wen Aifang Feng Yuguang Xu

In this paper, Φ-pseudo-contractive operators and Φ-accretive operators, more general than the strongly pseudo-contractive operators and strongly accretive operators, are introduced. By setting up a new inequality, authors proved that if → : T X X is a uniformly continuous Φ-pseudo-contractive operator then T has unique fixed point q and the Mann iterative sequence with random errors approximat...

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