Results 1 to 10 of about 444 (57)
Nondiffusive variational problems with distributional and weak gradient constraints
Advances in Nonlinear Analysis, 2022 In this article, we consider nondiffusive variational problems with mixed boundary conditions and (distributional and weak) gradient constraints. The upper bound in the constraint is either a function or a Borel measure, leading to the state space being ...
Antil Harbir +3 more
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Presolving linear bilevel optimization problems
EURO Journal on Computational Optimization, 2021 Linear bilevel optimization problems are known to be strongly NP-hard and the computational techniques to solve these problems are often motivated by techniques from single-level mixed-integer optimization.
Thomas Kleinert +3 more
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Characterizations of the Solution Sets of Generalized Convex Fuzzy Optimization Problem
Open Mathematics, 2019 This paper provides some new characterizations of the solution sets for non-differentiable generalized convex fuzzy optimization problem. Firstly, we introduce some new generalized convex fuzzy functions and discuss the relationships among them. Secondly,
Chen Wang, Zhou Zhiang
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Optimality and duality in set-valued optimization utilizing limit sets
Open Mathematics, 2018 This paper deals with optimality conditions and duality theory for vector optimization involving non-convex set-valued maps. Firstly, under the assumption of nearly cone-subconvexlike property for set-valued maps, the necessary and sufficient optimality ...
Kong Xiangyu, Zhang Yinfeng, Yu GuoLin
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Symmetric duality for a class of multiobjective programming
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 9, Page 617-625, 2000., 2000 We formulate a pair of symmetric dual nondifferentiable multiobjective programming and establish appropriate duality theorems. We also show that differentiable and nondifferentiable analogues of several pairs of symmetric dual problems can be obtained as special cases of our general symmetric programs.
Xinmin Yang, Shouyang Wang, Duan Li
wiley +1 more source
EURO Journal on Computational Optimization, 2015 Quantified linear programs (QLPs) are linear programs with variables being either existentially or universally quantified. QLPs are convex multistage decision problems on the one side, and two-person zero-sum games between an existential and a universal ...
Ulf Lorenz, Jan Wolf
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Characterizations of Benson proper efficiency of set-valued optimization in real linear spaces
Open Mathematics, 2019 A new class of generalized convex set-valued maps termed relatively solid generalized cone-subconvexlike maps is introduced in real linear spaces not equipped with any topology.
Liang Hongwei, Wan Zhongping
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Characterizations of minimal elements of upper support with applications in minimizing DC functions
Open MathematicsIn this study, we discuss on the problem of minimizing the differences of two non-positive valued increasing, co-radiant and quasi-concave (ICRQC) functions defined on XX (where XX is a real locally convex topological vector space).
Mirzadeh Somayeh +2 more
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Demonstratio MathematicaThis article concerns about optimality conditions for boundary-value problems related to differential inclusions (DFIs) of higher orders. We intend to attain optimality conditions when a general Lagrange functional takes place in the cost function ...
Yıldırım Uğur +2 more
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Partial Differential Equations in Applied MathematicsIn this paper, we present a Wolfe-type dual model containing the Caputo-Fabrizio fractional derivative, weak and strong duality results, number of Kuhn-Tucker type sufficient optimality conditions and duality results for variational problems (VPs) with ...
Ved Prakash Dubey +3 more
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