A generalization of Krasnosel’skii fixed point theorem for sums of compact and contractible maps with application

• Autorzy: Bogdan Przeradzki
• Języki publikacji: EN

Abstrakty

EN

The existence of a fixed point for the sum of a generalized contraction and a compact map on a closed convex bounded set is proved. The result is applied to a kind of nonlinear integral equations.

Słowa kluczowe

EN

Condensing map; Generalized contraction; Nemytskii operator

Kategorie tematyczne

• 47H30: Particular nonlinear operators (superposition, Hammerstein, Nemytski{\u\i}, Uryson, etc.)
• 47H08: Measures of noncompactness and condensing mappings, K -set contractions, etc.
• 47H10: Fixed-point theorems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 6
• Strony: 2012-2018

Daty

wydano

2012-12-01

online

2012-10-12

Twórcy

autor

Bogdan Przeradzki

• Institute of Mathematics, Łódź University of Technology, ul. Wólczańska 215, Łódź, 93-005, Poland

Bibliografia

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• [10] Kryszewski W., Mederski J., Fixed point index for Krasnosel’skii-type set-valued maps on complete ANRs, Topol. Methods Nonlinear Anal., 2008, 28(2), 335–384
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• [13] O’Regan D., Fixed-point theory for the sum of two operators, Appl. Math. Lett., 1996, 9(1), 1–8 http://dx.doi.org/10.1016/0893-9659(95)00093-3[Crossref]
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• [15] Xiang T., Krasnosel’skii fixed point theorem for dissipative operators, Electron. J. Differential Equations, 2011, #147

Identyfikatory

DOI

10.2478/s11533-012-0102-y