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Variational inequalities via the Hahn-Banach theorem

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Publication:1250589
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DOI10.1007/BF01226478zbMath0388.46001MaRDI QIDQ1250589

Stephen Simons

Publication date: 1978

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

HAHN-BANACH THEOREMVARIATIONAL INEQUALITIES


Mathematics Subject Classification ID

Variational inequalities (49J40) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Inequalities and extremum problems involving convexity in convex geometry (52A40)


Related Items (5)

Variational Inequality and Complementarity Problem ⋮ Convergence of an adaptive penalty scheme for finding constrained equilibria ⋮ Elementary convex techniques for equilibrium, minimax and variational problems ⋮ Directional derivatives and variational inequalities ⋮ Variational inequalities for functions on convex sets



Cites Work

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  • On certain applications of the Hahn-Banach and minimax theorems
  • Nonlinear monotone operators and convex sets in Banach spaces
  • ON THE UNIFICATION OF THE CALCULUS OF VARIATIONS AND THE THEORY OF MONOTONE NONLINEAR OPERATORS IN BANACH SPACES
  • Variational inequalities
  • Minimax Theorems




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