Fixed points for extrema of contractions

DOI10.1016/0022-247X(90)90348-JzbMath0716.47031MaRDI QIDQ753123

I. B. Gertsbakh, Baruch Cahlon, Irwin E. Schochetman

Publication date: 1990

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

zbMATH Keywords

fixed pointBanach latticescomplete metric spacecountably Dedekind complete latticefamilies of integral equationsfamilies of order preserving contraction mappingsMarkov decision models

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Banach lattices (46B42) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

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• Fixed point theorems for discounted finite Markov decision processes
• Stochastic optimal control. The discrete time case
• Brouwer's fixed point theorem and finite state space Markovian decision theory
• Optimal Replacement of One-Unit Systems under Periodic Inspection
• Contraction Mappings in the Theory Underlying Dynamic Programming

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