Stable Monotone Variational Inequalities.

Abstract

Variational inequalities associated with monotone operators (possibly nonlinear and multivalued) and convex sets (possibly unbounded) are studied in reflexive Banach spaces. A variety of results are given which relate to a stability concept involving a natural parameter. These include characterizations useful as criteria for stable existence of solutions and also several characterizations of subjectivity. The monotone complementarity problem is covered as a special case, and the results are sharpened for linear monotone complementarity and for generalized linear programming. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1984
Accession Number
ADA147123

Entities

People

  • L. Mclinden

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Banach Space
  • Boundary Value Problems
  • Calculus Of Variations
  • Computer Programming
  • Contracts
  • Convex Sets
  • Equations
  • Inequalities
  • Linear Programming
  • Literature
  • Mathematical Programming
  • Mathematics
  • Optimization
  • Theorems
  • Topology
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

  • Linear Algebra

Technology Areas

  • Space