Optimality Conditions for Minimax Semi-Infinite Fractional Programming Involving Generalized Convexity

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 219)

Abstract

The purpose of this paper is to consider a class of nonsmooth minimax semi-infinite fractional programming problem. Based on the concept of \( H- \) tangent derivative, a new generalization of convexity, namely generalized uniform \( (B_{H} ,\rho ) - \) invexity, is defined for this problem. For such semi-infinite programming problems, 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.

Keywords

\( H - \) Tangent derivative Generalized convexity Minimax fractional semi-infinite programming Optimality conditions 

Notes

Acknowledgments

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

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Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  1. 1.School of ScienceXi’an University of Science and TechnologyXi’anChina

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