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Existence of fixed points for the sum of two operators

✍ Scribed by Jesús Garcia-Falset


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
181 KB
Volume
283
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

The purpose of this paper is to study the existence of fixed points for the sum of two nonlinear operators in the framework of real Banach spaces. Later on, we give some examples of applications of this type of results (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


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## Abstract We consider a class of abstract evolution problems characterized by the sum of two unbounded linear operators __A__ and __B__, where __A__ is assumed to generate a positive semigroup of contractions on an L^1^‐space and B is positive. We study the relations between the semigroup generat