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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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Vector optimization problems and approximated vector optimization problems
Journal of Numerical Analysis and Approximation Theory, 2010 In this paper, a so-called approximated vector optimization problem associated to a vector optimization problem is considered. The equivalence between the efficient solutions of the approximated vector optimization problem and efficient solutions of the ...
Eugenia Duca, Dorel I. Duca
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Pain Research and Management, Volume 2026, Issue 1, 2026.Background Medication‐overuse headache (MOH) is a disabling secondary headache arising from frequent acute medication intake in individuals with preexisting primary headache. Behavioral and psychosocial factors may perpetuate medication overuse.
Pannathat Soontrapa +4 more
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Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex function [PDF]
, 2014 In this paper, we generalize the notion of \(B\)-\((p,r)\)-invexity introduced by Antczak in [A class of \(B\)-\((p; r)\)-invex functions and mathematical programming, J. Math. Anal. Appl. 286 (2003), 187-206] for scalar optimization problems to the case
Jimenez, M. A., Antczak, T.
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Nonlinear programming problem for strongly
, 2022 The concepts of strongly E-invex sets, strongly E-invex, strongly E-preinvex, and strongly pseudo E-preinvex functions are introduced in this paper. We have included several non-trivial examples to support our definitions.
Akhlad Iqbal, Askar Hussain
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Improved Imaging by Invex Regularizers with Global Optima Guarantees [PDF]
, 2022 Image reconstruction enhanced by regularizers, e.g., to enforce sparsity, low rank or smoothness priors on images, has many successful applications in vision tasks such as computer photography, biomedical and spectral imaging.
Pinilla, Samuel +3 more
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On invex programming problem in Hilbert spaces [PDF]
, 2015 In this paper we introduce the invex programming problem in Hilbert space.
Chatterjee Sandip +1 more
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Headache: 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
Analysis of the Whiplash gradient descent dynamics
Asian 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
Generalized Geodesic Convexity on Riemannian Manifolds
Mathematics, 2019 We introduce log-preinvex and log-invex functions on a Riemannian manifold. Some properties and relationships of these functions are discussed. A characterization for the existence of a global minimum point of a mathematical programming problem is ...
Izhar Ahmad +2 more
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