Fixed points, eigenvalues and surjectivity for (ws)-compact operators on unbounded convex sets

• Autorzy: Afif Amar
• Języki publikacji: EN

Abstrakty

EN

The paper studies the existence of fixed points for some nonlinear (ws)-compact, weakly condensing and strictly quasibounded operators defined on an unbounded closed convex subset of a Banach space. Applications of the newly developed fixed point theorems are also discussed for proving the existence of positive eigenvalues and surjectivity of quasibounded operators in similar situations. The main condition in our results is formulated in terms of axiomatic measures of weak noncompactness.

Słowa kluczowe

EN

Fixed point theorems; Weakly condensing; Eigenvalues; Surjectivity

Kategorie tematyczne

• 47J10: Nonlinear spectral theory, nonlinear eigenvalue problems
• 47J05: Equations involving nonlinear operators (general)
• 47H10: Fixed-point theorems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 1
• Strony: 85-93

Daty

wydano

2013-01-01

online

2012-10-24

Twórcy

autor

Afif Amar

• Université de Gafsa, Cité Universitaire

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0079-6