## A complementarity problem in mathematical programming in Banach space.(English)Zbl 0547.90099

An existence and uniqueness theorem for the nonlinear complementarity problem over arbitrary closed convex cones in a reflexive real Banach space is established. The same result has been proved by Bazaraa, Goode and Nashed under different assumptions. This theorem contains the result obtained by Nanda as a particular case.
Reviewer: Ying Meiqian

### MSC:

 90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) 90C48 Programming in abstract spaces
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### References:

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