Fixed points for discontinuous monotone operators

DOI10.1155/2010/926209zbMath1197.47068OpenAlexW1990455144WikidataQ59248868 ScholiaQ59248868MaRDI QIDQ963631

Xingqiu Zhang, Yujun Cui

Publication date: 13 April 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227658

zbMATH Keywords

differential equationincreasing operatorordered topological spacemonotone iterations

Mathematics Subject Classification ID

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)

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Computation of fixed point index and applications to superlinear periodic problem

Cites Work

• Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings
• An extragradient method and proximal point algorithm for inverse strongly monotone operators and maximal monotone operators in Banach spaces
• Regular fixed points and stable invariant subsets of monotone operators
• Fixed points for discontinuous monotone operators.
• Fixed point theorems of increasing operators and applications to nonlinear integro-differential equations with discontinuous terms
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
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