In [Croatian Oper. Res. Rev. 13 (2022), 131–135], it was shown that the Lipschitz continuity condition with respect to the first and/or second variable has been misapplied in prior literature on systems of variational inequalities. This paper corrects errors in previous work by M. A. Noor and K. I. Noor by introducing a new iterative method.

A new class of positive linear operators is constructed by incorporating an exponential weight function with the aim of enhancing approximation performance. The convergence behavior of the proposed operators is examined using Korovkin’s theorem, and a Voronovskaja-type asymptotic formula is derived to assess the convergence rate. Comparative numerical experiments with classical operators, including Baskakov and Bernstein operators, are conducted. The results indicate that the proposed operators provide significantly improved approximation accuracy over a wider range of test functions.

This article presents and analyzes a finite element approach for the 2D-viscoelastic wave equation with dynamic boundary conditions and strong damping. We use the Faedo–Galerkin method to prove the global existence of solutions and the multiplier approach to determine the asymptotic behavior in a bounded domain. We show and analyze typical semi-discrete systems as well as an implicit fully discrete scheme. For both semi-discrete and fully discrete methods, optimal a priori error estimates are demonstrated. Finally, some numerical findings and a priori error estimate are derived.

This paper presents an improved method for selecting the best features for data, based on the combination of the mutual information (MI) method and the chaotic binary bat algorithm (CBBA). The proposed method, named MI-CBBA, is based on three stages: (1) MI is used to rank the most relevant features in order of importance from the highest to the lowest importance, (2) a chaotic sine map is used to generate the initial population parameters for the binary bat algorithm, and (3) the binary bat algorithm is applied as an additional stage to reduce the dimensionality of the data and obtain the best features. The results obtained through application to biological data show that the proposed MI-CBBA algorithm has higher classification accuracy with a smaller number of selected features compared to the standard bat algorithm.

We consider the problem of portfolio optimization for an infinite discrete time horizon under transaction costs. We study Bellman equations for this problem. The main goal of this article is to construct a shadow price, i.e. to prove the existence of an equivalent market without transaction costs for which the optimal strategy is the same as in the market with transaction costs.

This study develops an exponential inequality for widely orthant dependent random variables. We establish complete convergence and derive a convergence rate of O(1)(log2n)α1+αn−α1+α for the strong law of large numbers, where 0<α≤1. As an application to a linear model, we obtain the strong law of large numbers with a convergence rate of O(1)(log2n)2α1+αn−2α1+α, where 0<α<1. Numerical simulations are provided to illustrate and support the theoretical results.

We investigate some harmonic problems on the tangent bundle with a deformed Sasaki metric. Firstly, we study the harmonicity of a vector field with respect to this metric, and we construct some examples of harmonic vector fields. Secondly, we study the harmonicity of a vector field along a map between Riemannian manifolds, where the tangent bundle of the target manifold is equipped with a deformed Sasaki metric. Finally, we discuss the harmonicity of the composition of the projection map of the tangent bundle of a Riemannian manifold with a map from this manifold into another Riemannian manifold, where the tangent bundle of the first manifold is equipped with a deformed Sasaki metric.

We obtain an extension of multiple Markov Gaussian processes with discrete parameters to Gaussian semiflows with multiple Markov property.

We study the existence of mild solutions on a semi-infinite interval of second-order perturbed evolution equations with infinite state-dependent delay. We use Avramescu’s nonlinear alternative for sums of compact operators and contraction maps in Fréchet

The aim of this work is to improve the complexity result for the large-update method. First, we present a new bi-parametric kernel function with a hyperbolic barrier term. Then using simple tools, we show that the complexity bound of the algorithm based o