Monika Jaiswal, Shashi Kant Mishra, and Bader Al Shamary Banaras Hindu University, Banaras Hindu University, Kuwait University
Abstract : A nondifferentiable nonlinear semi-infinite programming problem is considered, where the functions involved are $\eta$-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 generalized semilocally type I-preinvex and related functions.
