Results 31 to 40 of about 148 (137)

A Quasiconvex Asymptotic Function with Applications in Optimization

Journal of Optimization Theory and Applications, 2018
We introduce a new asymptotic function, which is mainly adapted to quasiconvex functions. We establish several properties and calculus rules for this concept and compare it to previous notions of generalized asymptotic functions. Finally, we apply our new definition to quasiconvex optimization problems: we characterize the boundedness of the function ...
Nicolas Hadjisavvas, Felipe Lara 0001, Juan Enrique Martínez-Legaz   +2 more
openaire   +3 more sources

Some Novel Inclusions for Interval‐Valued s‐Convex Functions in the Second Sense Involving Caputo–Fabrizio Integrals

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the class of interval‐valued s‐convex functions in the second sense sIVC2 using Caputo–Fabrizio CF integrals. Some generalizations of the Hermite–Hadamard HH‐type, Hermite–Hadamard–Fejér HHF‐type, and Hermite–Hadamard–Mercer HHM‐type inclusions involving the CF integrals are developed.
Ammara Nosheen, Khuram Ali Khan, Mariam Aslam, Atiq ur Rehman, Demco K. Mukongo, Smritijit Sen   +5 more
wiley   +1 more source

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

Convexité au sens direct ou inverse et applications dans l'optimisation vectorielle

Journal of Numerical Analysis and Approximation Theory, 2000
(in English) The aim of this paper is to study vector optimization poblems involving objective functions which are convex in some direct or inverse sense (i.e. a special class of cone-quasiconvex functions).
Nicolae Popovici
doaj   +2 more sources

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

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

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

Characterizations of Strongly Quasiconvex Functions

Journal of Global Optimization
We provide new necessary and sufficient conditons for ensuring strong quasiconvexity in the nonsmooth case and, as a consequence, we provide a proof for the differentiable case. Furthermore, we improve the quadratic growth property for strongly quasiconvex functions.
Nicolas Hadjisavvas, Felipe Lara 0001
openaire   +2 more sources

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

Quantitative Fundamental Theorem of Asset Pricing

Mathematical Finance, Volume 35, Issue 3, Page 636-660, July 2025.
ABSTRACT In this paper, we provide a quantitative analysis of the concept of arbitrage, that allows us to deal with model uncertainty without imposing the no‐arbitrage condition. In markets that admit “small arbitrage,” we can still make sense of the problems of pricing and hedging.
Beatrice Acciaio, Julio Backhoff‐Veraguas, Gudmund Pammer   +2 more
wiley   +1 more source