Results 61 to 70 of about 431 (190)

A randomized sequential cross‐over trial evaluating five purportedly ICP‐lowering drugs in idiopathic intracranial hypertension

open access: yesHeadache: The Journal of Head and Face Pain, Volume 65, Issue 2, Page 258-268, February 2025.
Abstract Objective To gain initial insight into the efficacy to lower intracranial pressure (ICP), side effects, and effects on cognition of five drugs commonly used to treat idiopathic intracranial hypertension (IIH). Background Limited clinical data exist for the treatment for IIH.
James L. Mitchell   +10 more
wiley   +1 more source

Generalized (ρ,θ)-η Invariant Monotonicity and Generalized (ρ,θ)-η Invexity of Nondifferentiable Functions

open access: yesJournal of Inequalities and Applications, 2009
New concepts of generalized (ρ,θ)-η invex functions for non-differentiable functions and generalized (ρ,θ)-η invariant monotone operators for set-valued mappings are introduced.
Caiping Liu, Xinmin Yang
doaj   +1 more source

On locally Lipschitz vector-valued invex functions [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1993
The four types of invexity for locally Lipschitz vector-valued functions recently introduced by T. W. Reiland are studied in more detail. It is shown that the class of restricted K-invex in the limit functions is too large to obtain desired optimisation theorems and the other three classes are contained in the class of functions which are invex 0 in ...
Yen, N. D., Sach, P. H.
openaire   +2 more sources

Analysis of the Whiplash gradient descent dynamics

open access: yesAsian Journal of Control, Volume 27, Issue 1, Page 27-40, January 2025.
Abstract In this paper, we propose the Whiplash inertial gradient dynamics, a closed‐loop optimization method that utilizes gradient information. We introduce the symplectic asymptotic convergence analysis for the Whiplash system for convex functions.
Subhransu S. Bhattacharjee   +1 more
wiley   +1 more source

An Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Godunova–Levin Convex and Preinvex Functions via Pseudo and Standard Order Relations

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
The connection between generalized convexity and analytic operators is deeply rooted in functional analysis and operator theory. To put the ideas of preinvexity and convexity even closer together, we might state that preinvex functions are extensions of convex functions. Integral inequalities are developed using different types of order relations, each
Zareen A. Khan   +2 more
wiley   +1 more source

Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion (⊆) Relation

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of
Zareen A. Khan   +4 more
wiley   +1 more source

Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam   +3 more
wiley   +1 more source

A Class of Semilocal E-Preinvex Functions and Its Applications in Nonlinear Programming

open access: yesJournal of Applied Mathematics, 2012
A kind of generalized convex set, called as local star-shaped E-invex set with respect to η, is presented, and some of its important characterizations are derived. Based on this concept, a new class of functions, named as semilocal E-preinvex functions,
Hehua Jiao, Sanyang Liu, Xinying Pai
doaj   +1 more source

Robustness and exploration of variational and machine learning approaches to inverse problems: An overview

open access: yesGAMM-Mitteilungen, Volume 47, Issue 4, November 2024.
Abstract This paper provides an overview of current approaches for solving inverse problems in imaging using variational methods and machine learning. A special focus lies on point estimators and their robustness against adversarial perturbations. In this context results of numerical experiments for a one‐dimensional toy problem are provided, showing ...
Alexander Auras   +3 more
wiley   +1 more source

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