Brouwer's fixed point theorem and finite state space Markovian decision theory

DOI10.1016/0022-247X(75)90210-3zbMath0302.90056MaRDI QIDQ1216364

Jeremy F. Shapiro

Publication date: 1975

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

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Markov and semi-Markov decision processes (90C40) Hamilton-Jacobi theories (49L99)

Related Items (6)

Monotone value iteration for discounted finite Markov decision processes ⋮ Fixed point theorems for discounted finite Markov decision processes ⋮ Existence of a solution to the Markov renewal programming problem ⋮ A Fixed Point Approach to Undiscounted Markov Renewal Programs ⋮ Markov programming by successive approximations with respect to weighted supremum norms ⋮ Fixed points for extrema of contractions

Cites Work

• The Approximation of Fixed Points of a Continuous Mapping
• Contraction Mappings in the Theory Underlying Dynamic Programming
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