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A pair of Mond–Weir type third order symmetric duality
In this framework, a pair of Mond–Weir type third order symmetric nonlinear programming problems are introduced. Appropriate duality theorems are...
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Higher Order Variational Symmetric Duality Over Cone Constraints
The prime objective of our discussions moves around the higher order variational symmetric dual pairs for which constraints are defined over cones...
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Second-Order Symmetric Duality for Multiple Objectives Nonlinear Programming Under Generalizations of Cone-Preinvexity Functions
In this article, we present generalizations of the cone-preinvexity functions and study a pair of second-order symmetric solutions for multiple...
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Fractional variational duality results for higher-order multiobjective problems
This paper provides a study of multiobjective fractional variational programs involving support functions. It then explains the concept of...
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A New Approach on Multiobjective Higher-Order Symmetric Duality Under Cone-Invexity
In this paper, we introduce a new pair of multiobjective higher-order symmetric dual models with cone constraints. Weak, strong and converse duality...
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Higher-Order Normals on Manifolds
On an n -dimensional smooth manifold, we consider higher-order normals of two types, i.e., the spaces that complement the tangent space of orders 1 or r...
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Gaussian scrolls, Gaussian flags and duality
A projective variety whose Gauss map has positive dimensional fibres corresponds to a special kind of scroll called Gaussian . A Gaussian scroll is a...
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Robust duality for robust efficient solutions in uncertain vector optimization problems
In this paper, we introduce second-order subdifferentials of vector-valued maps and single-valued maps, respectively, and discuss some properties of...
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From Grassmann complements to Hodge-duality
Hodge duality is a central concept of 20th century algebraic and analytic geometry and plays a non-negligible role also in recent mathematical...
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BRAID GROUP ACTIONS FROM CATEGORICAL SYMMETRIC HOWE DUALITY ON DEFORMED WEBSTER ALGEBRAS
We construct a 2-representation categorifying the symmetric Howe representation of 𝔤𝔩 m using a deformation of an algebra introduced by Webster. As...
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Duality Results for Fractional Variational Problems and Its Application
This article is tendered to discuss the nondifferentiable class of multiobjective variational problems of minimizing a vector of quotients of...
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Higher-Order Non-Symmetric Duality for Nondifferentiable Minimax Fractional Programs with Square Root Terms
In this paper, we emphasize on a nondifferentiable minimax fractional programming (NMFP) problem and obtain appropriate duality results for...
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The Duality of the Volumes and the Numbers of Vertices of Random Polytopes
An identity due to Efron dating from 1965 relates the expected volume of the convex hull of n random points to the expected number of vertices of the...