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FIXED POINTS OF CONE-COMPRESSING AND CONE-EXTENDING OPERATORS IN FRÉCHET SPACES

Published online by Cambridge University Press:  13 August 2003

M. FRIGON  and
D. O'REGAN
M. FRIGON
Affiliation:
Département de Mathématiques et Statistique, Université de Montréal, C. P. 6128, Succ. Centre-ville, Montréal, H3C 3J7, [email protected]
D. O'REGAN
Affiliation:
Department of Mathematics, National University of Ireland, Galway, [email protected]
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Abstract

A generalization of norm type cone-compression and -expansion results due to Krasnosel'skiì (see Dokl. Akad. Nauk SSSR NS 135 (1960) 527–530) is presented here for single-valued completely continuous maps defined on a Fréchet space. Applications to second-order differential equations on the half line are presented, and the existence of nontrivial solutions is established.

Keywords

47H1034B40
Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 5 , September 2003 , pp. 672 - 680
Copyright
© The London Mathematical Society 2003

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