Fixed point search in a discrete monotone decreasing operator

Fixed point search in a discrete monotone decreasing operator

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Article ID: iaor20162301
Volume: 77
Issue: 4
Start Page Number: 708
End Page Number: 715
Publication Date: Apr 2016
Journal: Automation and Remote Control
Authors: ,
Keywords: optimization
Abstract:

This paper analyzes the computational complexity of fixed point search in a nonincreasing additive operator. A power algorithm determining a fixed point is proposed. A constructive proof of fixed point existence is given in a special case of a nonincreasing additive bounded‐variation operator. Possible applications include voluntary financing of public good, the Cournot oligopoly and others.

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