##  [Variational Inequality](/variational-inequality) 

  ##  [Variational Inequality](https://mathlogic.quantumdictionary.io/variational-inequality-0) 

  

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**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A mathematical formulation seeking an element u in an admissible set K such that a variational operator A satisfies the inequality ⟨A(u), v - u⟩ ≥ 0 for all v in K; it expresses equilibrium or constrained extremum problems as inequalities rather than equalities.