Generalized Equations

Stephen M. Robinson
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Stephen M. Robinson: University of Wisconsin-Madison, Dept. of Industrial Engineering

A chapter in Mathematical Programming The State of the Art, 1983, pp 346-367 from Springer

Abstract: Abstract The term “generalized equation” has recently been used to describe certain kinds of inclusions that involve multivalued functions, particularly normal-cone operators. Such problems include static generalized equations, which extend ordinary nonlinear equations, as well as generalized differential equations, which extend ordinary differential equations to the situation in which the defining relation contains multivalued functions (again, particularly normal-cone operators). This survey gives an overview of what is known about these problems as of late 1982. Because of space limitations, it has not been practical to present an encyclopedic description of all recent work. Rather, this paper tries to exhibit samples of recent results in several different areas, and to lead the reader to works in the literature that explain those results in more detail and that contain references to other work not mentioned here. The choice of samples to be presented was based on the author’s particular knowledge and interests.

Keywords: Generalize Equation; Complementarity Problem; Monotone Operator; Multivalued Function; Maximal Monotone (search for similar items in EconPapers)
Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-68874-4_14

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DOI: 10.1007/978-3-642-68874-4_14

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