This paper investigates symplectic hulls of linear codes. We use a different view to obtain more structural properties of generator matrices with respect to the symplectic inner product. As an outgrowth, generalized formulas for calculating …

In this paper, we have first formulated semi-infinite equilibrium problems involving data uncertainty. For this class of problems, we have proposed the Linear Independence Constraint Qualification (LICQ) in terms of tangential subdifferentials and …

This paper introduces a class of new extended generalized shift-splitting (NEGSS) preconditioners for solving the $$3\times 3$$ 3 × 3 block saddle point problems (SPPs). The algorithm implementation of the NEGSS preconditioner, the convergence of …

In this article, we construct a generalized Kantorovich operator based on Hermite polynomials of three variable to approximate integrable functions. For the operator, we derive the moment generating function (m.g.f.) and a few direct findings …

The main objective of this thesis is to learn about the dynamics of a diffusive Leslie–Gower predator–prey system with functional response and time delay under homogeneous Neumann boundary conditions. By in-depth analyzing eigenvalues …

In this paper, we investigate a class of stochastic differential equations with fixed delays and obtain two conditions to guarantee that the zero solution is globally exponentially stable in mean square by using Gronwall inequality and matric …

The fourth-order Steklov eigenvalue problem is essential in analyzing the supported plate and the deformation of the linear elastic hinge phenomenon. This paper conducts an error analysis of the conforming element method for this problem and …

This study is involved with a class of three-dimensional system of difference equations incorporating quadratic term, which naturally extends and improve several results in the literature. Firstly, we demonstrate the existence of fixed points, the …

A class of two-dimensional singularly perturbed convection–diffusion problems with turning points is studied in this work. Since the turning point takes place inside the domain, the problem usually exhibits a weak interior layer of cusp-type. The …

In this paper, we discuss the higher-order $$\alpha $$ α -Bernstein–Kantorovich operators, which are associated with the Bernstein polynomials. We analyze various aspects, such as error estimations and Voronovskaja-type asymptotic formula.

In this research, we describe the modulus-based synchronous multisplitting iteration method for solving a class of horizontal nonlinear complementarity problems by utilizing the matrix multisplitting technique. We derive several convergence …

In this paper, we initially enhance the Fletcher–Reeves (FR) conjugate parameter through a shrinkage multiplier, leading to a derivative-free two-term search direction and its extended spectral version. The results indicate that both search …

The conjugate gradient projection method is one of the most effective methods for solving large-scale nonlinear monotone convex constrained equations. In this paper, a new search direction with restart procedure is proposed, and a self-adjusting …

In case of variable coefficients, the discrete bilinear forms in the virtual element discretization do not satisfy the consistency and stability properties. Also, for distinct damping and diffusion coefficient, it is difficult to obtain optimal …

In this paper, the links synchronization is investigated for a class of complex networks with stochastic links dynamics. Different from existing studies, the two stochastic differential equations are applied to model the dynamics of nodes and …

This paper discusses the single-machine scheduling problems with deteriorating jobs and past-sequence-dependent delivery times. Under the general deterioration function, the objective is to determine an optimal schedule for the job that minimizes …

The column action methods of algebraic iterative techniques play a pivotal role in the image reconstruction process. These methods converge to a least squares solution of inconsistent linear systems, providing a means to conserve computational …

In the paper, when $$0<c<1$$ 0 < c < 1 , the phase portraits, traveling wave solutions and the minimum positive period of the periodic orbit for the double Sine-Gordon equation are discussed by using the dynamical system method and variable …

This paper mainly deals with the following k-Hessian system with the nonlinear gradients $$\begin{aligned} \left\{ \begin{array}{ll} {{S}_{k}}(\lambda ({{D}^{2}}{{u}_{i}}))+|\nabla {{u}_{i}}{{|}^{k}}={{\varphi …

In this paper, the existence of unique solution is established for a coupled system of fractional differential equations that involves $$\Psi $$ Ψ -Caputo fractional derivatives using the Banach contraction principle. we also discover at least one …