Variational Convergence Of Bifunctions: Motivating Applications

Abstract

It s shown that a number of variational problems can be cast as finding the maxinfpoints (or minsup-points) of bifunctions (= bivariate functions). These variational problems include: linear and nonlinear complementarity problems, fixed points, variational inequalities, inclusions, noncooperative games, Walras and Nash equilibrium problems. One can then appeal to the theory of lopsided convergence for bifunctions to derive stability results for each one of these variational problems.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2011
Accession Number
ADA581428

Entities

People

  • Alejandro Jofré
  • Roger J. Wets

Organizations

  • University of California

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Acquisition
  • Calculus Of Variations
  • Cognitive Radio
  • Convergence
  • Convex Sets
  • Cooperative Games
  • Equations
  • Guarantees
  • Inclusions
  • Inequalities
  • Military Research
  • Non-Cooperative Games
  • Perturbations
  • Point Theorem
  • Sequences
  • Theorems
  • Tightness

Fields of Study

  • Mathematics

Readers

  • Game Theory.
  • Operations Research