Optimality conditions and duality results of the nonlinear programming problems under (p, r)-invexity on differentiable manifolds
نویسندگان
چکیده
The main purpose of this paper is to study a pair of optimization problems on differentiable manifolds under (p, r)-invexity assumptions. By using the (p, r)-invexity assumptions on the functions involved, optimality conditions and duality results (Mond-Weir, Wolfe and mixed type) are established on differentiable manifolds. We construct counterexample to justify that our investigations are more general than the existing work available in the literature. M.S.C. 2010: 26B25, 58A05, 58B20, 90C26, 90C46.
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