Title of article
Global bifurcation for generalized image-set contractions Original Research Article
Author/Authors
In-Sook Kim، نويسنده , , Sunghui Kwon، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
8
From page
3224
To page
3231
Abstract
Modifying a bifurcation result of Stuart for kk-set contractions, we show global bifurcation of the nonlinear equation u=λGuu=λGu associated with the countably kk-set contractive operator GG in a real Banach space when λ0λ0 is a characteristic value of the linearization of odd multiplicity. The main tools are Whyburn’s lemma and an index formula for countably kk-set contractive operators.
Keywords
Characteristic value , multiplicity , Component , Index , Degree , Countably kk-set contractive operators , Bifurcation point
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2008
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860262
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