Results 61 to 70 of about 810 (214)
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper defines a strong convertible nonconvex (SCN) function for solving the unconstrained optimization problems with the nonconvex or nonsmooth (nondifferentiable) function. First, the concept of SCN function is defined, where the SCN functions are nonconvex or nonsmooth.
Min Jiang +4 more
wiley +1 more source
Nonsmooth multiobjective optimization using limiting subdifferentials
, 2007 In this study, using the properties of limiting subdifferentials in nonsmooth analysis and regarding a separation theorem, some weak Pareto-optimality (necessary and sufficient) conditions for nonsmooth multiobjective optimization problems are ...
Jahanshahloo, G.R. +1 more
core +1 more source
Restrictive metric regularity and generalized differential calculus in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2004 We consider nonlinear mappings f:X→Y between Banach spaces and study the notion of restrictive metric regularity of f around some point x¯, that is, metric regularity of f from X into the metric space E=f(X).
Boris S. Mordukhovich, Bingwu Wang
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous +5 more
wiley +1 more source
Subdifferentials of Performance Functions and Calculus of Coderivatives of Set-Valued Mappings [PDF]
, 1996 The paper contains calculus rules for coderivatives of compositions, sums and intersections of set-valued mappings. The types of coderivatives considered correspond to Dini-Hadamard and limiting Dini-Hadamard subdifferentials in Gˆateaux differentiable ...
Penot, Jean-Paul, Ioffe, Alexander
core
Local subdifferentials and multivariational inequalities in Banach and Frechet spaces [PDF]
Opuscula Mathematica, 2008 Some functional-topological concepts of subdifferential and locally subdifferential maps in Frechet spaces are established. Multivariational inequalities with an operator of the pseudo-monotone type, connected with subdifferential maps, are considered.
Pavlo O. Kasyanov +2 more
doaj
Robust multitask feature learning with adaptive Huber regressions
Canadian Journal of Statistics, Volume 53, Issue 4, December 2025.Abstract When data from multiple tasks have outlier contamination, existing multitask learning methods perform less efficiently. To address this issue, we propose a robust multitask feature learning method by combining the adaptive Huber regression tasks with mixed regularization. The robustification parameters can be chosen to adapt to the sample size,
Yuan Zhong, Xin Gao, Wei Xu
wiley +1 more source
Directional Subdifferentials and Optimality Conditions
, 2011 This paper is devoted to the introduction and development of new dual-space constructions of generalized differentiation in variational analysis, which combine certain features of subdifferentials for nonsmooth functions (resp.
Mordukhovich, Boris S +3 more
core +1 more source
Learning in random utility models via online decision problems
International Journal of Economic Theory, Volume 21, Issue 4, Page 494-526, December 2025.Abstract This paper examines the Random Utility Model (RUM) in repeated stochastic choice settings where decision‐makers lack full information about payoffs. We propose a gradient‐based learning algorithm that embeds RUM into an online decision‐making framework.
Emerson Melo
wiley +1 more source
, 2021 In combining the value function approach and tangential subdifferentials, we establish necessary optimality conditions of a nonsmooth multiobjective bilevel programming problem under a suitable constraint qualification.
El Mostafa Kalmoun +2 more
core +1 more source