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1. Duality for a class of second order symmetric nondifferentiable fractional variational problems

Author

Anant Singh Pratap, Ashish Kumar, and Sony Khatri

Subjects
Pure mathematics, second order f-convexity, lcsh:T58.6-58.62, Converse, non-differentiable programming, Duality (optimization), lcsh:Management information systems, Management Science and Operations Research, variational problem, symmetric duality, Mathematics
Abstract

The present work frames a pair of symmetric dual problems for second order nondifferentiable fractional variational problems over cone constraints with the help of support functions. Weak, strong and converse duality theorems are derived under second order F-convexity assumptions. By removing time dependency, static case of the problem is obtained. Suitable numerical example is constructed.

Published
2020
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