A generalization of the Petryshyn-Leggett-Williams fixed point theorem with applications to integral inclusions.

DOI10.1016/S0096-3003(00)00077-1zbMath1033.47037OpenAlexW1967603466MaRDI QIDQ1855060

Ravi P. Agarwal, Donal O'Regan

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00077-1

zbMATH Keywords

fixed pointindex theoryintegral inclusionZbm 0421.47033

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Degree theory for nonlinear operators (47H11) Fixed-point theorems on manifolds (58C30) Applications of operator theory to differential and integral equations (47N20)

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Cites Work

• Multiple positive fixed points of multivalued condensing mappings with some applications
• Fixed-point index for compositions of set-valued maps with proximally \(\infty\)-connected values on arbitrary ANR's
• Integral inclusions of upper semi-continuous or lower semi-continuous type
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