Startseite On nondifferentiable minimax semi-infinite programming problems in complex spaces
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On nondifferentiable minimax semi-infinite programming problems in complex spaces

  • Anurag Jayswal EMAIL logo und Krishna Kummari
Veröffentlicht/Copyright: 23. Februar 2016
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Abstract

The purpose of this paper is to study a nondifferentiable minimax semi-infinite programming problem in a complex space. For such a semi-infinite programming problem, necessary and sufficient optimality conditions are established by utilizing the invexity assumptions. Subsequently, these optimality conditions are utilized as a basis for formulating dual problems. In order to relate the primal and dual problems, we have also derived appropriate duality theorems.

MSC 2010: 26A51; 49A50; 90C15

Funding statement: The research of the first author is financially supported by the University Grant Commission, New Delhi, India, through grant F. No. 41-801/2012 (SR).

Acknowledgements

The authors are highly thankful to the anonymous referees for their valuable suggestions and comments which have contributed to the final preparation of the paper.

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Received: 2014-1-15
Revised: 2015-6-10
Accepted: 2015-6-16
Published Online: 2016-2-23
Published in Print: 2016-9-1

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