Operator equations in Banach spaces relative to the weak topology

DOI10.1007/S000130050243zbMath0918.47053OpenAlexW4240621453MaRDI QIDQ1270266

Donal O'Regan

Publication date: 19 August 1999

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050243

zbMATH Keywords

differential and integral equations in Banach spacesoperator equation in Banach spaces

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Equations and inequalities involving linear operators, with vector unknowns (47A50)

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Weak solutions nonlinear fractional integrodifferential equations in nonreflexive Banach spaces ⋮ Random fixed point theorems under weak topology features and application to random integral equations with lack of compactness ⋮ Fixed point theory for weakly contractive maps with applications to operator inclusions in Banach spaces relative to the weak topology ⋮ Fixed point theorems for convex-power condensing operators relative to the weak topology and applications to Volterra integral equations ⋮ Leray-Schauder-type fixed point theorems in Banach algebras and application to quadratic integral equations ⋮ Henstock-Kurzweil-Pettis integral and weak topologies in nonlinear integral equations on time scales ⋮ On the existence of weak solutions of nonlinear integral equations in Banach spaces ⋮ Fixed point theorems for multivalued mappings in ordered Banach spaces with application to integral inclusions ⋮ Weak solutions of ordinary differential equations in Banach spaces

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