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A discrete multivariate mean value theorem with applications

Talman,A.J.J.
; 
Yang,Z.F.
Abstract
We establish a discrete multivariate mean value theorem for the class of positive maximum component sign preserving functions. A constructive and combinatorial proof is given based upon a simplicial algorithm and vector labeling. Moreover, we apply this theorem to a discrete nonlinear complementarity problem and an economic equilibrium problem with indivisibilities and show the existence of solutions in both problems under certain mild conditions.
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Appeared earlier as CentER DP 2006-106
Date
2009
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Tilburg University Research Output Collection
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EJOR-09.pdf
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Talman, A J J & Yang, Z F 2009, 'A discrete multivariate mean value theorem with applications', European Journal of Operational Research, vol. 192, no. 2, pp. 374-381.
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https://hdl.handle.net/20.500.14602/49502
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