Fixed points of cone-compressing and cone-extending operators in Fréchet spaces

Bulletin of the London Mathematical Society

Volumn 35, Issue 5, 2003, Pages 672-680

  Frigon, M ^a   O'Regan, D ^b  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041413250     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609303002212     Document Type: Article

References (9)

1. R. P. AGARWAL and D. O'REGAN, 'Fixed point theory for self maps between Fréchet spaces', J. Math. Anal. Appl. 256 (2001) 498-512.
2. J. DUGUNDJI, Topology (Wm. C. Brown Publishers, Dubuque, 1989).
3. M. FRIGON, 'Fixed point results for compact maps on closed subsets of Fréchet spaces and applications to differential and integral equations', Bull. Soc. Math. Belgique 9 (2002) 23-37.
4. A. GRANAS, R. B. GUENTHER, J. W. LEE and D. O'REGAN, 'Boundary value problems on infinite intervals and semiconductor devices', J. Math. Anal. Appl. 116 (1986) 335-348.
5. M. A. KRASNOSEL'SKIǏ, 'Fixed points of cone-compressing and cone-extending operators', Dokl. Akad. Nauk SSSR NS 135 (1960) 527-530 (Russian); translated in Soviet Math. Dokl. 1 (1960) 1285-1288.
6. M. A. KRASNOSEL'SKIǏ, 'Fixed points of cone-compressing and cone-extending operators', Dokl. Akad. Nauk SSSR NS 135 (1960) 527-530 (Russian); translated in Soviet Math. Dokl. 1 (1960) 1285-1288.
7. M. A. KRASNOSEL'SKIǏ and P. P. ZABREǏKO, Geometrical methods of nonlinear analysis (Springer, Berlin/Heidelberg, 1984).
8. W. V. PETRYSHYN, 'Existence of fixed points of positive k-set contractive maps as consequences of suitable boundary condition', J. London Math. Soc. 185 (1988) 503-512.
9. B. PRZERADZKI, 'On the solvability of singular BVP's for second order ordinary differential equations', Ann. Polon. Math. 50 (1990) 279-289.