Fixed point index theory for decomposable multivalued maps and applications to discontinuous \(\phi\)-Laplacian problems

DOI10.1016/j.na.2020.111958OpenAlexW3028035533MaRDI QIDQ2199966

Jorge Rodríguez-López, Radu Precup

Publication date: 14 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.111958

zbMATH Keywords

lower and upper solutionsdiscontinuous differential equationmultiple solutionsfixed point index theory\(\phi\)-Laplacian equation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Ordinary differential inclusions (34A60) Discontinuous ordinary differential equations (34A36)

Related Items (5)

Iterative algorithm for approximating fixed points of multivalued quasinonexpansive mappings in Banach spaces ⋮ On some applications of the controllability principle for fixed point equations ⋮ Existence of solutions for inclusion problems in Musielak-Orlicz-Sobolev space setting ⋮ Componentwise localization of solutions to systems of operator inclusions via Harnack type inequalities ⋮ Compression-expansion fixed point theorems for decomposable maps and applications to discontinuous \(\phi\)-Laplacian problems

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