A Class of New Type Unified Non-Differentiable Higher Order Symmetric Duality Theorems Over Arbitrary Cones Under Generalized Assumptions


Ramu Dubey, Rajnish Kumar, Khursheed Alam, Lakshmi Narayan Mishra, Vishnu Narayan Mishra




In the present paper, a newly combined higher-order non-differentiable symmetric duality in scalar-objective programming over arbitrary cones is formulated. In literature we have discussed primal-dual results with arbitrary cones, while in this article, we have derived combined result with one model over arbitrary cones. The theorems of duality are derived for these problems under η-pseudoinvexity/η-invexity/Cpseudoconvexity/C-convexity speculations over arbitrary cones.