Results 31 to 40 of about 130 (118)

k-quasi-convexity reduces to quasi-convexity [PDF]

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2011
The relation between quasi-convexity and k-quasi-convexity, k ≥ 2, is investigated. It is shown that every smooth strictly k-quasi-convex integrand with p-growth at infinity, p > 1, is the restriction to kth-order symmetric tensors of a quasi-convex function with the same growth.
openaire   +3 more sources

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, Donglei Du, Zhiqing Meng, Rui Shen, Hui Wang, Smritijit Sen   +5 more
wiley   +1 more source

Painlevé-Kuratowski convergence for set optimization solutions using improvement sets

Applied Mathematics in Science and Engineering
This 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
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

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  

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

Duality Theorems for Quasiconvex Programming with a Reverse Quasiconvex Constraint

Taiwanese Journal of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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

Regulating Over‐the‐Counter Markets

The Journal of Finance, Volume 80, Issue 4, Page 1929-1962, August 2025.
ABSTRACT Over‐the‐counter (OTC) trading thrives despite competition from exchanges. We let OTC dealers cream skim from exchanges in an otherwise standard Glosten and Milgrom framework. Restricting the dealer's ability to cream skim induces “cheap substitution”: some traders exit while others with larger gains from trade enter.
TOMY LEE, CHAOJUN WANG
wiley   +1 more source

A well‐posed variational approach to the identification and convergent approximation of material laws from boundary data

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 7, July 2025.
Abstract We formulate the problem of material identification as a problem of optimal control in which the deformation of the specimen is the state variable and the unknown material law is the control variable. We assume that the material obeys finite elasticity and that the deformation of the specimen is in static equilibrium with prescribed boundary ...
Sergio Conti, Michael Ortiz
wiley   +1 more source