Symmetric duality with (p, r)-         ρ         -(η,         θ)‐invexity

Symmetric duality with (p, r)- ρ -(η, θ)‐invexity

0.00 Avg rating0 Votes
Article ID: iaor20115424
Volume: 217
Issue: 21
Start Page Number: 8141
End Page Number: 8148
Publication Date: Jul 2011
Journal: Applied Mathematics and Computation
Authors: ,
Keywords: duality
Abstract:

In this paper we introduce a new type of generalized invex function, called (p, r)‐ ρ ‐(η, θ)‐invex function and study symmetric duality results under these assumptions. In our study the nonnegative orthants for the constraints are replaced by closed convex cones and their polars. We establish weak and strong duality theorems under (p, r)‐ ρ ‐(η, θ)‐invexity assumptions for the symmetric dual problems. We also give many examples to justify our results.

Reviews

Required fields are marked *. Your email address will not be published.