The Schauder and Krasnoselskii fixed-point theorems on a Frechet space

DOI10.1007/S00009-018-1141-9zbMath1395.65046OpenAlexW2804698390WikidataQ129816032 ScholiaQ129816032MaRDI QIDQ723840

Toufic El Arwadi, Mohamed Amine Cherif

Publication date: 24 July 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1141-9

zbMATH Keywords

Dunford-Pettis propertyfixed-point theoryFrechet topological vector spaceKrasnoselskii fixed-point theoremsSchauder fixed-point theorems

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solutions to equations with linear operators (65J10)

Cites Work

• Fixed-point theory on a Frechet topological vector space
• Fixed points and stability for a sum of two operators in locally convex spaces
• A fixed-point theorem of Krasnoselskii
• Leray-Schauder alternatives for weakly sequentially continuous mappings and application to transport equation
• A Fixed Point Theorem of Krasnoselskii—Schaefer Type
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