Results 51 to 60 of about 2,908 (221)

Subdifferential calculus and nonsmooth critical point theory

open access: yes, 2000
A general critical point theory for continuous functions defined on metric spaces has been recently developed. In this paper a new subdifferential, related to that theory, is introduced.
Degiovanni, Marco
core   +1 more source

SUBDIFFERENTIAL FIRST AND SECOND ORDER OF THE OPERATOR

open access: yes, 2022
The article considers the subdifferential of the first and second orders of mappings. Some of their properties have been studied. In the work, using the tensor product, a number of properties of the second-order subdifferential are ...
Sadygov M.A.
core   +1 more source

On the 85th Birthday Anniversary of the RAS Corresponding Member, Professor A. A. Tolstonogov

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
The paper is dedicated to the scientific and scientific-pedagogical activities of the professor, Corresponding Member of the Russian Academy of Sciences A. A. Tolstonogov, who turns 85 in March 2025.
I.V. Bychkov   +4 more
doaj   +1 more source

Generalized Niezgoda's Inequality with Refinements and Applications [PDF]

open access: yesSahand Communications in Mathematical Analysis
Motivated by the results of Niezgoda, corresponding to the generalization of Mercer's inequality for positive weights, in this paper, we consider real weights, for which we establish related results.
Faiza Rubab   +3 more
doaj   +1 more source

A Proposal of Smooth Interpolation to Optimal Transport for Restoring Biased Data for Algorithmic Fairness

open access: yesApplied Stochastic Models in Business and Industry, Volume 42, Issue 2, March/April 2026.
ABSTRACT The so‐called algorithmic bias is a hot topic in the decision‐making process based on Artificial Intelligence, especially when demographics, such as gender, age or ethnic origin, come into play. Frequently, the problem is not only in the algorithm itself, but also in the biased data that feed the algorithm, which is just the reflection of the ...
Elena M. De‐Diego   +2 more
wiley   +1 more source

Integration formulas via the Fenchel subdifferential of nonconvex functions

open access: yes, 2012
Starting from explicit expressions for the subdifferential of the conjugate function, we establish in the Banach space setting some integration results for the so-called epi-pointed functions. These results use the epsilon-subdifferential and the Fenchel
Rafael Correa   +5 more
core   +1 more source

Toward Dynamic Phase‐Field Fracture at Finite Strains

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT We investigate the evolution of dynamic phase‐field fracture in the finite‐strain setting, extending our previous work in the small‐strain viscoelastodynamic regime. The elastodynamic equations are coupled with a dissipative damage evolution for the phase‐field variable z$z$.
Sven Tornquist   +4 more
wiley   +1 more source

Dimer models and conformal structures

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala   +3 more
wiley   +1 more source

A Relaxed Version of the Cutting Method with Approximation of the Constraint Region

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки
A cutting method was proposed for solving the convex programming problem. The method assumes that the constraint region of the problem is embedded into some polyhedral sets for constructing iteration points.
I. Ya. Zabotin   +2 more
doaj   +1 more source

Optimal Quantum Control in Fermionic Stochastic Systems With Bounded Delay

open access: yesIET Quantum Communication, Volume 7, Issue 1, January/December 2026.
This figure illustrates the workflow of a quantum control system driven by fermionic Brownian motion, integrating control inputs, delay conditions and state updates. It outlines the iterative process of constructing a cost functional system, applying optimality conditions, and refining the quantum state through control functions.
Divyabala Kanagaraj, Durga Nagarajan
wiley   +1 more source

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