Inverse Sums of Monotone Operators.

Abstract

We show that the inverse image of a point under the sum of two monotone operators in R(n) has a special form if a simple condition is imposed on one of the operators. This result is then applied to characterize the form of the solution set of a monotone linear generalized equation. Some known results are recovered as a special case. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1981
Accession Number
ADA099365

Entities

People

  • Stephen M. Robinson

Organizations

  • University of Wisconsin–Madison

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DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Applied Mathematics
  • Computer Programming
  • Contracts
  • Convex Programming
  • Convex Sets
  • Equations
  • Mathematical Programming
  • Mathematics
  • Nonlinear Programming
  • North Carolina
  • Operations Research
  • Sequences
  • Systems Engineering
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

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  • Computer Vision.
  • Statistical inference.