Fixed points of cone compression and expansion multimaps defined on Fréchet spaces: the projective limit approach

DOI10.1155/JAMSA/2006/92375zbMath1133.47043MaRDI QIDQ995850

Donal O'Regan, Ravi P. Agarwal

Publication date: 10 September 2007

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53890

zbMATH Keywords

expansionconeFréchet spacesfixed point theoremscompressionprojective limits of Banach spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (2)

A generalization of Krasnosel'skii fixed point theorem for sums of compact and contractible maps with application ⋮ Compression fixed point theorems of operator type

Cites Work

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• Fixed point results for compact maps on closed subsets of Fréchet spaces and applications to differential and integral equations
• Leggett--Williams norm-type fixed point theorems for multivalued mappings
• FIXED POINTS OF CONE-COMPRESSING AND CONE-EXTENDING OPERATORS IN FRÉCHET SPACES
• A Krasnoselskii Cone Compression Theorem for U^k_c Maps
• Existence of Fixed Points of Positive k -Set-Contractive Maps as Consequences of Suitable Boundary Conditions
• A multiplicity fixed point theorem in Fréchet spaces
• Fixed point theory for self maps between Fréchet spaces
• Cone compression and expansion fixed point theorems in Fréchet spaces with applications

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