Upper semicontinuity of Nemytskij operators

DOI10.1007/BF01764132zbMath0753.47046OpenAlexW2018355947MaRDI QIDQ1191392

Andrzej Fryszkowski, Tadeusz Rzeżuchowski, Arrigo Cellina

Publication date: 27 September 1992

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01764132

zbMATH Keywords

Lebesgue- Bochner spacesupper semicontinuity of the multivalued Nemytskij operator

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Set-valued operators (47H04)

Related Items (9)

Positive solutions for discontinuous problems with applications to \(\phi \)-Laplacian equations ⋮ Integral \(\Phi\)-type contractions and existence of continuous solutions for nonlinear integral inclusions ⋮ Fixed point index theory for decomposable multivalued maps and applications to discontinuous \(\phi\)-Laplacian problems ⋮ Existence criteria for operator inclusions in abstract spaces ⋮ Compression-expansion fixed point theorems for decomposable maps and applications to discontinuous \(\phi\)-Laplacian problems ⋮ Fixed-point theorems for countably condensing maps on Fréchet spaces ⋮ Positive solutions for φ-Laplace equations with discontinuous state-dependent forcing terms ⋮ Fixed point theorems for set-valued maps and existence principles for integral inclusions ⋮ Fixed point and surjectivity results for e-quasibounded and (mws)-compact multivalued maps and applications

Cites Work

• A bifurcation result for a Dirichlet problem with discontinuous nonlinearity
• Multivalued perturbations for a class of nonlinear evolution equations
• Convex analysis and measurable multifunctions
• Measurable relations
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