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

M. FRIGON; D. O'REGAN

doi:10.1112/S0024609303002212

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.

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

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

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