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Proceedings of the International Conference on Information Engineering and Applications (IEA) 2012 pp 467–474Cite as

Optimality Conditions for Non-Smooth Multi Objective Semi-Infinite Programming

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 218))

Abstract

The purpose of this paper is to consider a class of non-smooth multi objective semi-infinite programming problem. Based on the concepts of local cone approximation, K—directional derivative and K—subdifferential, a new generalization of convexity, namely generalized uniform K—\( (F,\alpha ,\rho ,d) \)—convexity, is defined for this problem. For such semi-infinite programming problem, several sufficient optimality conditions are established and proved by utilizing the above defined new classes of functions. The results extend and improve the corresponding results in the literature.

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Acknowledgments

This work is supported by Scientific Research Program Funded by Shaanxi Provincial Education Department (Program No. 08JK237).

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Authors and Affiliations

  1. School of Science, Xi’an University of Science and Technology, 710054, Xi’an, China

    Xiaoyan Gao

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  1. Xiaoyan Gao
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Correspondence to Xiaoyan Gao .

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Editors and Affiliations

  1. Beiquan Road, Apt. 1-1-2 309, Chongqing, 400700, China, People's Republic

    Zhicai Zhong

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Gao, X. (2013). Optimality Conditions for Non-Smooth Multi Objective Semi-Infinite Programming. In: Zhong, Z. (eds) Proceedings of the International Conference on Information Engineering and Applications (IEA) 2012. Lecture Notes in Electrical Engineering, vol 218. Springer, London. https://doi.org/10.1007/978-1-4471-4847-0_58

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  • DOI: https://doi.org/10.1007/978-1-4471-4847-0_58

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4846-3

  • Online ISBN: 978-1-4471-4847-0

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