Fixed points for discontinuous monotone operators.

DOI10.1016/J.JMAA.2003.11.003zbMath1062.47049OpenAlexW1995708808MaRDI QIDQ1426083

Yong-Zhuo Chen

Publication date: 14 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.11.003

zbMATH Keywords

fixed pointsextremal solutionsdiscontinuous monotone operators

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (4)

Weak contractive inequalities and compatible mixed monotone random operators in ordered metric spaces ⋮ Almost periodic solutions of a functional differential equation by monotone iterative method ⋮ Fixed points for discontinuous monotone operators ⋮ Maximal and minimal solutions of a class of discontinuous generalized dynamical equations with delay on time scale

Cites Work

• Regular fixed points and stable invariant subsets of monotone operators
• Fixed point theorems of increasing operators and applications to nonlinear integro-differential equations with discontinuous terms
• On strongly monotone flows
• Maximal and minimal fixed points of discontinuous increasing operators with applications
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