Browder-krasnoselskii-type fixed point theorems in banach spaces

Fixed Point Theory and Applications

Volumn 2010, Issue , 2010, Pages

  Agarwal, Ravi P ^a,b   O'Regan, Donal ^c   Taoudi, Mohamed Aziz ^d  

^a Florida Institute of Technology ^*  (United States)

^b KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

^c NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^d CADI AYYAD UNIVERSITY   (Morocco)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957955421     PISSN: 16871820     EISSN: 16871812     Source Type: Journal    
DOI: 10.1155/2010/243716     Document Type: Article

References (23)

1. Edmunds D. E., Remarks on non-linear functional equations Mathematische Annalen 1967 174 233 239
2. Smart D. R., Fixed Point Theorems 1980 Cambridge, UK Cambridge University Press
3. Zeidler E., Nonlinear Functional Analysis and Its Applications. I: Fixed-Point Theorems 1986 New York, NY, USA Springer xxi+897
4. Reinermann J., Fixpunktstze vom Krasnoselski-Typ Mathematische Zeitschrift 1971 119 339 344
5. Singh S. P., Fixed point theorems for a sum of non linear operators Rendiconti delle Sedute della Accademia Nazionale dei Lincei 1973 54 1 4
6. De Blasi F. S., On a property of the unit sphere in a Banach space Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie 1977 21(69) 3-4 259 262
7. Latrach K., Taoudi M. A., Zeghal A., Some fixed point theorems of the Schauder and the Krasnosel'skii type and application to nonlinear transport equations Journal of Differential Equations 2006 221 1 256 271
8. Latrach K., Taoudi M. A., Existence results for a generalized nonlinear Hammerstein equation on L1 spaces Nonlinear Analysis: Theory, Methods Applications 2007 66 10 2325 2333
9. Taoudi M. A., Integrable solutions of a nonlinear functional integral equation on an unbounded interval Nonlinear Analysis: Theory, Methods Applications 2009 71 9 4131 4136
10. Dunford N., Schwartz J. T., Linear Operators. Part I: General Theory 1958 New York, NY, USA John Wiley Sons
11. Jachymski J., On Isac's fixed point theorem for selfmaps of a Galerkin cone Annales des Sciences Mathmatiques du Qubec 1994 18 2 169 171
12. Taoudi M. A., Krasnosel'skii type fixed point theorems under weak topology features Nonlinear Analysis: Theory, Methods Applications 2010 72 1 478 482
13. O'Regan D., A fixed point theorem for condensing operators and applications to Hammerstein integral equations in Banach spaces Computers Mathematics with Applications 1995 30 9 39 49
14. O'Regan D., Some fixed point theorems for concentrative mappings between locally convex linear topological spaces Nonlinear Analysis: Theory, Methods Applications 1996 27 12 1437 1446 (Pubitemid 126401543)
15. Browder F. E., Semicontractive and semiaccretive nonlinear mappings in Banach spaces Bulletin of the American Mathematical Society 1968 74 660 665
16. O'Regan D., Fixed-point theory for weakly sequentially continuous mappings Mathematical and Computer Modelling 1998 27 5 1 14
17. Engelking R., General Topology 1989 6 2nd Berlin, Germany Heldermann viii+529 Sigma Series in Pure Mathematics
18. Garca-Falset J., Existence of fixed points and measures of weak noncompactness Nonlinear Analysis: Theory, Methods Applications 2009 71 7-8 2625 2633
19. Arino O., Gautier S., Penot J.-P., A fixed point theorem for sequentially continuous mappings with application to ordinary differential equations Funkcialaj Ekvacioj 1984 27 3 273 279
20. Floret K., Weakly Compact Sets 1980 801 Berlin, Germany Springer vii+123 Lecture Notes in Mathematics
21. Fuk S., Fixed point theorems for sum of nonlinear mappings Commentationes Mathematicae Universitatis Carolinae 1968 9 1 133 143
22. Burton T. A., A fixed-point theorem of Krasnoselskii Applied Mathematics Letters 1998 11 1 85 88
23. O'Regan D., Fixed-point theory for the sum of two operators Applied Mathematics Letters 1996 9 1 1 8