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Saddle Point Criteria for Semi-infinite Programming Problems via an \(\eta \)-Approximation Method

  • 2018
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Abstract

In this paper, we consider a semi-infinite programming problem involving differentiable invex functions. We construct an \(\eta \)-approximated semi-infinite programming problem associated with the original semi-infinite programming problem and establish relationship between its saddle point and an optimal solution. We also establish relationship between an optimal solution of original semi-infinite programming problem and saddle point of \(\eta \)-approximated semi-infinite programming problem. Examples are given to illustrate the obtained results.

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Title
Saddle Point Criteria for Semi-infinite Programming Problems via an -Approximation Method
Authors
Yadvendra Singh
S. K. Mishra
Copyright Year
2018
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-7814-9_2
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