The purpose of the current article is to review some historical facts about the process of editing Carpathian Journal of Mathematics (CJM) since its foundation in 1991 to the present time (2026) and to reflect systematically on articles recently published in CJM. The bibliometrics analysis was carried out over the past 10 year research activity of the journal, i.e., over the period from 2016 to 2025, and was conducted with the aim to analyze and characterize its most important aspects. The data for the analysis have been obtained and analyzed separately from each of the following databases: MathSciNet, zbMATH, Scopus, and Web of Science. Based on a quantitative content analysis of the journal’s articles, the statistical analysis was directed mainly to identify the most contributing authors, organizations, research groups and countries. The analysis also ex amined the impact and visibility of the publications in CJM based on reviews and citations over the whole publication period of the journal according to information available within the four databases taken into con sideration with time delays. Unlike Caputo derivatives, conformable derivatives lack memory effects, affecting stability. Existing work on H∞ control mainly covers integer-order and Caputo fractional systems, with little focus on conformable systems with delays. Using Lyapunov methods and the conformable Laplace transform, we derive linear matrix inequalities (LMIs) that ensure finite-time stability and robust H∞ performance. A state-feedback control law is designed to improve system robustness. Numerical simulations validate the approach against disturbances and delays. Markov–Kakutani Fixed-Point Theorem (also known as Day’s Fixed-Point Theorem). In this article, we examine gyrogroups that satisfy the Markov–Kakutani–Day fixed-point property, and also give a characterization of amenable groups related to a fixed-point property.
An element of a unital ring is termed right Rickart if its right annihilator is a principal right ideal generated by an idempotent. This paper investigates the properties of right Rickart elements in general rings, with particular emphasis on their behavior in matrix rings over various classes of commutative rings where idempotents are diagonalizable.
The purpose of the current article is to review some historical facts about the process of editing Carpathian Journal of Mathematics (CJM) since its foundation in 1991 to the present time (2026) and to reflect systematically on articles recently published in CJM. The bibliometrics analysis was carried out over the past 10 year research activity of the journal, i.e., over the period from 2016 to 2025, and was conducted with the aim to analyze and characterize its most important aspects. The data for the analysis have been obtained and analyzed separately from each of the following databases: MathSciNet, zbMATH, Scopus, and Web of Science. Based on a quantitative content analysis of the journal's articles, the statistical analysis was directed mainly to identify the most contributing authors, organizations, research groups and countries. The analysis also examined the impact and visibility of the publications in CJM based on reviews and citations over the whole publication period of the journal according to information available within the five databases taken into consideration.
In this paper, we investigate a plate equation incorporating a nonlocal damping term of the form parallel to u(t)parallel to(q)(2)u(t )and a logarithmic source term u ln |u|. Employing the Galerkin method, we rigorously establish the existence of solutions for the proposed problem. Furthermore, we derive an explicit and generalized decay rate result by utilizing the multiplier method alongside key properties of convex functions, providing a comprehensive analysis of the system asymptotic behavior.
We introduce a novel contractive condition that generalizes several known concepts like graphic contraction, almost contraction, mappingscontractingperimetersandmodifications. Thesemappingsareweakly Picard operators, but independent of all mentioned classes which is substantiated with numerous examples
This paper revisits the partial exact controllability of fractional control systems within the frame work of the deformable derivative. Building on established results concerning the existence and uniqueness of mildsolutions, we construct a theoretical framework tailored to this specific fractional dynamic. A dedicated ap proach to controllability is presented, and numerical simulations are provided to demonstrate the effectiveness of the proposed methodology
In this paper,we introduce a new modified hybrid iterative algorithm that integrates the shrink ing projection method with double inertial extrapolations for solving common fixed point problems of a count able family of quasi-nonexpansive mappings in real Hilbert spaces. By incorporating double inertial terms, our scheme enables more efficient utilization of historical information from the iterates and significantly enhances convergence behavior. Under appropriate conditions, we prove a strong convergence theorem for the proposed method. To demonstrate its practical utility, we applied our algorithm to an automated classification task for lumbar spinal stenosis using axial T2-weighted MRI. The pipeline integrates YOLO segmentation, SSIM-based filtering, data augmentation, VGG19 feature extraction, and classification via a regularized ELM. Our model achieved 96.41% test accuracy and a macro-average AUC of 0.97. Comparative experiments with several stan dard machine learning models, including XGBoost, Random Forest, LightGBM, and SVM, demonstrated that our approach not only yields higher accuracy but also exhibits superior generalization performance, with mini mal overfitting. These findings highlight the advantages of integrating advanced optimization algorithms with deep learning for improving classification performance in challenging medical image analysis tasks
We present some homotopy and Leray-Schauder type alternatives for maps which have an admissible (in the sense of Gorniewicz) type selection property.
We study systems of linear equations A(p) circle times = b(p) in extremal algebras (the standard pair of operations plus and times is substituted by the pair of operations maximum denoted by and either plus or minimum denoted by 0), where the entries of the matrix and of the right-hand side vector are linear dependent on parameters. A parametric system of linear equations A(p) circle times = b(p) is the set of all parametric systems of the form A(p) circle times = b(p) for some p E p and p is an interval vector. A parametric system of the form A(p) circle times = b(p) is called a parametric subsystem of parametric system A(p) circle times = b(p) if p E p. If we ask for the solvability of at least one of subsystems we say about the possible solvability and the universal solvability which requires solvability of all subsystems. This article deals with the universal and possible solvability of parametric linear equations. In addition, four other versions derived from them are studied, namely tolerable EA-solvability, tolerable AE-solvability, controllable AE-solvability, and weak EE-solvability. For each concept of solvability of parametric linear equations, we present equivalent conditions, some of which are polynomially checked. Presented numerical examples illustrate motivation models and properties a tolerable AE-solvability.
In this research, an inertial-type algorithm of a modified Krasnoselskii-Mann algorithm for en riched nonexpansive maps is considered. It is shown that the sequence generated by the inertial algorithm converges strongly to a fixed point of the map. Furthermore, under less stringent conditions, the sequence is proved to converge weakly to a fixed point of the map. Numerical experiments conducted show significant im provement in the performance of the algorithm as compared with the corresponding non-inertialalgorithm. The effectiveness of the algorithm is further examined through its application to tracking the motion of a two-arm robot and to solving a convex optimization problem related to image restoration.
In this paper, our interest is the numerical simulation of a free surface flow problem over pertubed topography at the bottom of an infinite 2D channel. We take into account both of the gravity and the superficial tension. The flow is assumed to be stationnary, irrotational and supercritical; The fluid is perfect and incompressible. We proceed by transforming the Bernoulli equation (written on the free surface flow) on fKdV equation in one dimension. The problem is solved numerically by the finite difference method. Various results are given in the cases of different topographies, and different values of the Froude number and the Bond number.
This paper explores the duality of the Natural Gradient and Euclidean Gradient in the statistical manifold of multinomial distributions by examining the relationship between these gradients in dual coordi nate spaces. We derive the canonical exponential form of the multinomial distribution and compute the Fisher metric using a change of basis method. The duality between the Natural and Euclidean Gradients in these spaces is demonstrated through both computational derivations and experimental validation. In a small-scale experiment, we compare the convergence rates of these gradients, confirming their duality and highlighting the practical advantages of the Natural Gradient in optimization using gradient descent methods
. In this paper, we develop a class of subgradient-extragradient schemes enhanced with double inertial mechanisms, aimed at resolving variational inequalities and fixed point formulations, particularly those arising in image reconstruction. By incorporating two inertial correction terms, the proposed algorithms aim to accelerate convergence while maintaining stability and robustness. We rigorously establish strong convergence results under suitable assumptions, extending existing theoretical frameworks to accommodate the added inertial dynamics. Numerical experiments are conducted on optimal control problems and image restoration tasks to demonstrate the practical efficiency and effectiveness of the proposed methods.
Based on a comparison with the first-order inequality, we obtain new criteria for oscillation of n-th order delay differential equations of the form y((n) )(t) + p(t)y(tau(t)) = 0. Some new results are presented that improve related ones. Our approach essentially involves establishing stronger monotonicity properties for the positive solutions of studied equations. We illustrate the improvement over existing results by applying and comparing our method with the other known results for (E).
In this paper, we investigate the existence, uniqueness, and Ulam-Hyers stability of solutions to the nonlinear Psi-Hilfer fractional differential equation with anti-periodic conditions by using O'Regan's fixed point theorem and the Banach contraction principle. An illustrative example is included to demonstrate the applicability of our results.
In this paper, we investigate the Ho & uml;lderian stability of parametric optimization and parametric equilibrium problems using the upper bound function of the objective functions. This approach allows us to avoid imposing strong convexity or strong monotonicity conditions on the objective functions, which are commonly used assumptions that typically ensure the uniqueness of solutions in reference problems. Consequently, we successfully establish Ho & uml;lderian stability for these problems even in cases where their solution sets are not necessarily singletons. As an application of our findings, we conduct a stability analysis of the Lancaster models. Our approach differs from existing studies in the literature, and the results we obtain are new.
We establish new oscillation criteria for a linear third-order functional dynamic equation on time scales. Our approach employs an iterative process combined with comparison principles to improve and generalize existing results. We demonstrate our findings through illustrative examples.
This paper studies finite-time H-infinity control for conformable fractional-order nonlinear systems with time delays. Unlike Caputo derivatives, conformable derivatives lack memory effects, affecting stability. Existing work onH(infinity) control mainly covers integer-order and Caputo fractional systems, with little focus on conformable systems with delays. Using Lyapunov methods and the conformable Laplace transform, we derive linear matrix inequalities (LMIs) that ensure finite-time stability and robust H(infinity)performance. A state-feedback control law is designed to improve system robustness. Numerical simulations validate the approach against disturbances and delays.
In this paper, we introduce and study a new accelerated common fixed point algorithm based on the viscosity approximation, double inertial, and linesearch technique. The convergence properties and practical applications of the proposed algorithm are explored, highlighting its effectiveness in solving bilevel optimization problems and its potential in machine learning for data classification. Based on our experiment, it is found that our proposed algorithm has superior convergence behaviour than the existing algorithms in the literature.
This paper presents an accelerated variant of the proximal forward-backward splitting method designed for solving convex minimization problem in Hilbert spaces. Our proposed algorithm integrates an inertial extrapolation term and two additional correction terms, coupled with linesearch stepsize that circumvents the explicit need for Lipschitz constant estimation. We establish weak convergence theorem, demonstrating that our method approximates solutions to convex minimization problems. Numerical experiments confirm the practical effectiveness and accelerated convergence speed of our algorithm, particularly highlighting its application in image recovery problem.
