Krasnosel'skii type fixed point theorems under weak topology features

Nonlinear Analysis, Theory, Methods and Applications

Volumn 72, Issue 1, 2010, Pages 478-482

  Taoudi, Mohamed Aziz ^a  

^a UNIVERSITY OF GABES   (Tunisia)

Author keywords

Fixed point theorem; Measure of weak noncompactness; Nonexpansive mappings; Strict contractions

Indexed keywords

CONTINUOUS MAPPINGS; FIXED POINT THEOREMS; FIXED POINTS; NONCOMPACTNESS; NONEXPANSIVE MAPPINGS; WEAK TOPOLOGIES;

BANACH SPACES; SHRINKAGE; TOPOLOGY;

MAPPING;

EID: 71749107089     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.06.086     Document Type: Article

References (10)

1. Krasnosel'skii M.A. Some problems of nonlinear analysis. Amer. Math. Soc. Trans. Ser. 2 10 2 (1958) 345-409
2. Smart D.R. Fixed Point Theorems (1980), Cambridge University Press, Cambridge
3. Barroso C.S. Krasnoselskii's fixed point theorem for weakly continuous maps. Nonlinear Anal. 55 (2003) 25-31
4. Barroso C.S., and Teixeira E.V. A topological and geometric approach to fixed points results for sum of operators and applications. Nonlinear Anal. 60 4 (2005) 625-650
5. Arino O., Gautier S., and Penot J.P. A fixed point theorem for sequentially continuous mappings with applications to ordinary differential equations. Funkc. Ekvac. 27 (1984) 273-279
6. Cain Jr. G.L., and Nashed M.Z. Fixed points and stability for a sum of two operators in locally convex spaces. Pacific J. Math. 39 3 (1971) 581-592
7. Burton T.A. A fixed point theorem of Krasnosel'skii. Appl. Math. Lett. 11 (1998) 85-88
8. Banas J., and Rivero J. On measures of weak noncompactness. Ann. Mat. Pura Appl. 151 (1988) 213-224
9. De Blasi F.S. On a property of the unit sphere in Banach spaces. Bull. Math. Soc. Sci. Math. Roum. 21 (1977) 259-262
10. Barroso C.S. The approximate fixed point property in Hausdorff topological vector spaces and applications. Discrete Contin. Dyn. Syst. 25 2 (2009) 467-479