Results 51 to 60 of about 183 (174)
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
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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
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This research develops a computational framework utilizing viscosity extragradient iterations to simultaneously solve split monotone variational inclusion, variational inequality, and fixed‐point problems. The methodology handles finite collections of ϵ‐strict pseudocontractive operators and nonexpansive mappings within Hilbert space settings ...
Ghada AlNemer +3 more
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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
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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
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Maximal pseudomonotonicity of generalized subdifferentials of explicitly quasiconvex functions
Journal of Numerical Analysis and Approximation Theory, 1988 Not available.
Radu Precup
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Subdifferential of the Cost Function
Journal of Mathematical Analysis and Applications, 1994 \textit{R. T. Rockafellar} [Nonlinear Anal., Theory, Methods Appl. 3, 145- 154 (1979; Zbl 0443.26010)] has proved the relation (a certain inclusion) between the subdifferential of the cost function and the Ioffe normal cone of the production set. The author studies the Lipschitz and differential properties of the cost function and gives assumptions to ...
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A Subdifferential Condition for Calmness of Multifunctions
Journal of Mathematical Analysis and Applications, 2001 A criterion for the calmness of a class of multifunctions between finite-dimensional spaces is derived in terms of subdifferential concepts developed by Mordukhovich. The considered class comprises general constraint set mappings as they occur in optimization or mappings associated with a certain type of variational systems.
Henrion, René, Outrata, Jiří
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A THEOREM ON THE SUBDIFFERENTIAL CALCULATION
Demonstratio Mathematica, 1988 Let X, Y be Banach spaces, \(a\in Y\), \(\Lambda\in {\mathcal L}(X,Y)\), Im \(\Lambda\) closed in Y. Let F: \(Y\to \bar R\) be a proper convex function. If F is continuous in at least one point of Im \(\Lambda\) \(+a\), and \(G(x)=F(\Lambda x+a)\), then we prove that \(\partial G(x)=\Lambda^*F(\Lambda x+a)\), where \(\Lambda^*\) is the conjugate of ...
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Journal of Function Spaces and Applications, 2013 For a set-valued mapping M defined between two Hausdorff topological vector spaces E and F and with closed convex graph and for a given point (x,y)∈E×F, we study the minimal time function associated with the images of M and a bounded set Ω⊂F defined by ...
Messaoud Bounkhel
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