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OPTIMALITY CONDITIONS AND DUALITY FOR SEMI-INFINITE PROGRAMMING INVOLVING SEMILOCALLY TYPE I-PREINVEX AND RELATED FUNCTIONS
2012
Communications of the Korean Mathematical Society
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A nondifferentiable nonlinear semi-infinite programming problem is considered, where the functions involved are η-semidifferentiable type I-preinvex and related functions. Necessary and sufficient optimality conditions are obtained for a nondifferentiable nonlinear semi-infinite programming problem. Also, a Mond-Weir type dual and a general Mond-Weir type dual are formulated for the nondifferentiable semi-infinite programming problem and usual duality results are proved using the concepts of
doi:10.4134/ckms.2012.27.2.411
fatcat:4bxnfil47jf57fnvy3ek33dvue