Constructive proofs of fixed point theorems for set valued operators by simplicial algorithms

DOI10.1016/0362-546X(88)90015-6zbMath0672.47038OpenAlexW1995356549MaRDI QIDQ3825600

Klaus Schilling

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90015-6

zbMATH Keywords

differential inclusionsboundary value problemsprojection schemepiecewise linear approximationssimplicial algorithmscollectively compact operatorsA-proper operatorscomputing fixed points of set-valued mapsMerrill's algorithms

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15) Approximation by arbitrary linear expressions (41A45)

Related Items

An algorithm to solve boundary value problems for differential iinclusions and applications in optimal control

Cites Work

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• Set-valued collectively compact operators and applications to set-valued differential equations
• Extensions of Lemke's algorithm for the linear complementarity problem
• Fixed Point Theorems for Multivalued Approximable Mappings
• Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
• On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings