Existence of fixed points and measures of weak noncompactness

The purpose of this paper is to study the existence of fixed points by using measures of weak noncompactness. Later on, we provide an existence principle for solutions for a nonlinear integral equation.

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Bibliographic Details
Published in:Nonlinear analysis 2009-10, Vol.71 (7), p.2625-2633
Main Author: García-Falset, J.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fixed points
Global analysis, analysis on manifolds
Integral equations
Mathematical analysis
Mathematics
Measures of weak noncompactness
Nonlinear operators
Operator theory
Sciences and techniques of general use
Solutions of a nonlinear integral equation
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Description
Summary:The purpose of this paper is to study the existence of fixed points by using measures of weak noncompactness. Later on, we provide an existence principle for solutions for a nonlinear integral equation.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2009.01.096