Fixed point theorems for decomposable multi-valued maps and applications

DOI10.4171/ZAA/1176zbMath1057.54032MaRDI QIDQ1432980

Radu Precup

Publication date: 15 June 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

\(L^p\)-spacesabstract operator inclusionsconvex-valued maps

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Nonlinear evolution equations (47J35)

Related Items

Positive solutions for discontinuous problems with applications to \(\phi \)-Laplacian equations, Heterogeneous vectorial fixed point theorems, On some applications of the controllability principle for fixed point equations, Componentwise localization of solutions to systems of operator inclusions via Harnack type inequalities, Fixed point index theory for decomposable multivalued maps and applications to discontinuous \(\phi\)-Laplacian problems, Compression-expansion fixed point theorems for decomposable maps and applications to discontinuous \(\phi\)-Laplacian problems, Positive solutions for φ-Laplace equations with discontinuous state-dependent forcing terms

Cites Work

• Fixed point theorems for set-valued maps and existence principles for integral inclusions
• An abstract topological point of view and a general averaging principle in the theory of differential inclusions
• Asymptotic boundary value problems in Banach spaces
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Fixed point theory of Mönch type for weakly sequentially upper semicontinuous maps
• Weak Compactness in L 1 (μ, X)
• A topological fixed-point index theory for evolution inclusions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item