Krasnoselskii's fixed point theorem for weakly continuous maps

Nonlinear Analysis, Theory, Methods and Applications

Volumn 55, Issue 1-2, 2003, Pages 25-31

  Barroso, Cleon S ^a  

^a FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

Author keywords

Dirichlet problem; Eigenvalue problem; Fixed points; Integral equations; Krasnoselskii; Weakly continuous maps

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; SET THEORY;

FIXED POINTS;

THEOREM PROVING;

EID: 0043014934     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(03)00208-6     Document Type: Article

References (9)

1. Brezis H. Analyse Fonctionnelle. Théorie et Applications. 1983;Masson, Paris.
2. Burton T.A. A fixed-point theorem of Krasnoselskii. Appl. Math. Lett. 11(1):1997;85-89.
3. Burton T.A., Furumochi T. Krasnoselskii's fixed point theorem and stability. Nonlinear Anal. 49:2002;445-454.
4. Gilbarg D., Trundiger N.S. Elliptic Partial Differential Equations of Second Order. 1983;Springer, Berlin.
5. Krasnoselskii M.A. Amer. Math. Soc. Transl. 10(2):1958;345-409.
6. D.R. Moreira, E.V.O. Teixeira, Weak convergence under nonlinearities, An. Acad, Brasil. Ciênc. 75 (1) (2003) 9-19.
7. O'Regan D. Fixed-point theory for the sum of two operators. Appl. Math. Lett. 9(1):1996;1-8.
8. Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations. 1983;Springer, New York.
9. Rudin W. Functional Analysis. 1973;McGraw-Hill, New York.