Duality for a class of second order symmetric nondifferentiable fractional variational problems
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In this article, a pair of symmetric dual problems for second order non-deterministic fractional variational problems with cone constraints were studied. But they were not considered in the light of second order π-convexity.Abstract:
The present work frames a pair of symmetric dual problems for second order nondifferentiable fractional variational problems with cone constraints and investigate weak, strong and converse duality theorems in the light of second order $\mathcal{F}$-convexity. Suitable numerical examples were constructed in order to validate our results.read more
Citations
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Higher Order Variational Symmetric Duality Over Cone Constraints
TL;DR: In this article , higher order variational symmetric dual pairs for which constraints are defined over cones are considered and relevant duality relations for the constructed duals are explored. But the main objective of this paper is to explore relevant dualities relations for constructed dual.
Journal ArticleDOI
Higher order fractional variational symmetric duality over cone constraints
Sony Khatri,Ashish Kumar Prasad +1 more
TL;DR: In this paper , a higher order fractional variational pair of symmetric dual formulations where constraints are defined over cones is considered, and a case study dealing with the static formulation of the considered problem is presented.
References
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TL;DR: In this article, the authors construct dual pairs of problems, of both the Wolfe and Mond-Weir types, in which the objective contains a support function and is therefore not differentiable.
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On Second-Order Symmetric Duality in Nondifferentiable Programming
Shui-Hung Hou,Xinmin Yang +1 more
TL;DR: In this article, the weak and strong duality theorems for a pair of symmetric dual non-differentiable programs and second-order F-pseudo-convexity were established.
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Chandal Nahak,S. Nanda +1 more
TL;DR: In this paper, the concept of efficiency (pareto optimum) was used to formulate duality for multiobjective variational control problems and weak and strong duality theorems were proved under the generalized (F − ǫ)-convexity on the functions involved.
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