Results 41 to 50 of about 532 (159)
Equivalence of Robust Multiobjective Bilevel Decision Problem Under Multiple Perturbation Sets
Journal of Mathematics, Volume 2026, Issue 1, 2026.The robust multiobjective bilevel decision problem (RMBDP) based on worst‐case conditional value at risk (WCVaR) is a bilevel decision model composed of multiple loss objectives of upper‐ and lower‐level decision‐makers under multiple perturbation sets in a concave probability density distribution function cluster.
Leiyan Xu +5 more
wiley +1 more source
Some remarks concerning quasiconvexity and strong convergence
, 1987 SynopsisWe show that the weak convergence of a sequence of functions in a Sobolev space plus the convergence of appropriately quasiconvex “energies” imply, in fact, strong convergence.
R. F. Gariepy, L. C. Evans
core +1 more source
MATEC Web of Conferences, 2015 A major open problem in the mathematical analysis of martensitic phase transformations is the derivation of explicit formulae for the set of recoverable strains and for the relaxed energy of the system.
Schlömerkemper Anja +3 more
doaj +1 more source
Connectedness and Contractibility of Solutions in Set Optimization Under Set Less Order Relations
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study establishes the topological properties of solution sets in set optimization, focusing on their connectedness and contractibility. Utilizing the arcwise convexity and lower semicontinuity characteristics derived from scalarization techniques, we initially prove the connectedness of solution sets containing both weak and standard approximate ...
Taiyong Li, Manli Yang, Zai Yun Peng
wiley +1 more source
Matrix-theoretic criteria for the quasiconvexity of twice continuously differentiable functions
, 1981 The author examines matrices and bordered matrices having exactly one or at most one negative eigenvalue. These results are then used to state matrix-theoretic criteria for the quasiconvexity of twice continuously differentiable functions.
Ferland, Jacques A.
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Painlevé-Kuratowski convergence for set optimization solutions using improvement sets
Applied Mathematics in Science and EngineeringThis paper investigates the Painlevé-Kuratowski convergence of solution sets in set optimization problems under perturbations. By introducing the notion of [Formula: see text]-[Formula: see text]-Strictly quasiconvexity for set-valued mappings, we ...
Taiyong Li, Manli Yang
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Prosoluble subgroups of the profinite completion of the fundamental group of compact 3‐manifolds
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We give a description of finitely generated prosoluble subgroups of the profinite completion of 3‐manifold groups and toral relatively hyperbolic virtually compact special groups.
Lucas C. Lopes, Pavel A. Zalesskii
wiley +1 more source
On residualizing homomorphisms preserving quasiconvexity
, 2005 H is called a G-subgroup of a hyperbolic group G if for any finite subset M G there exists a homomorphism from G onto a non-elementary hyperbolic group G_1 that is surjective on H and injective on M. In his paper in 1993 A. Ol'shanskii gave a description
Minasyan, Ashot
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Modelling of a collage problem
Electronic Journal of Differential Equations, 2006 In this paper we study the behavior of elastic adherents connected with an adhesive. We use the $Gamma$-convergence method to approximate the problem modelling the assemblage with density energies assumed to be quasiconvex. In particular for the adhesive
Abdelaziz Ait Moussa, Loubna Zlaiji
doaj
Additively decomposed quasiconvex functions [PDF]
Mathematical Programming, 1982 Letf be a real-valued function defined on the product ofm finite-dimensional open convex setsX1, ź,Xm. Assume thatf is quasiconvex and is the sum of nonconstant functionsf1, ź,fm defined on the respective factor sets. Then everyfi is continuous; with at most one exception every functionfi is convex; if the exception arises, all the other functions ...
Gerard Debreu, Tjalling C. Koopmans
openaire +2 more sources