Results 61 to 70 of about 1,264 (229)

Efficiency for Vector Variational Quotient Problems with Curvilinear Integrals on Riemannian Manifolds via Geodesic Quasiinvexity

open access: yesMathematics, 2020
In the paper, we analyze the necessary efficiency conditions for scalar, vectorial and vector fractional variational problems using curvilinear integrals as objectives and we establish sufficient conditions of efficiency to the above variational problems.
Tiziana Ciano   +3 more
doaj   +1 more source

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

Optimality conditions in a class of generalized convex optimization problems with the multiple interval-valued objective function

open access: yesSystems and Soft Computing, 2023
In this paper, a new class of generalized convex optimization problems with a multiple interval-valued objective function is considered. The concepts of B-preinvexity, B-invexity, and the generalized of B-invexity are extended to interval-valued ...
Najeeb Abdulaleem
doaj   +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

Generalized convexity: Their applications to multiobjective programming [PDF]

open access: yes, 2015
The aim of this paper is to show some applicable results to multiobjective optimization problems and the role that the Generalized Convexity plays in them.
Hernández Jiménez, Beatriz   +3 more
core  

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

In Vitro Effect of Anodization of Titanium Abutments on Color Parameters and Color Difference of Lithium Disilicate All‐Ceramic Crowns

open access: yesClinical and Experimental Dental Research, Volume 10, Issue 5, October 2024.
ABSTRACT Objective This study assessed the effect of the anodization of titanium abutments on the color parameters and color difference of lithium disilicate (LDS) all‐ceramic crowns. Materials and Methods In this study, 19 straight abutments were divided into two groups: anodized (n = 9) and non‐anodized control (n = 9), with one hybrid zirconia ...
Sotude Khorshidi   +5 more
wiley   +1 more source

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