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Optimality conditions for robust weakly efficient solutions in uncertain optimization
In this paper, we find the flimsily robust weakly efficient solution to the uncertain vector optimization problem by means of the weighted sum...
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A new scheme for approximating the weakly efficient solution set of vector rational optimization problems
In this paper, we provide a new scheme for approximating the weakly efficient solution set for a class of vector optimization problems with rational...
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An Efficient Spectral-Galerkin Method for Second Kind Weakly Singular VIEs with Highly Oscillatory Kernels
In this paper, we construct an efficient spectral Galerkin method to deal with the classical second kind linear VIEs with weakly singular and highly...
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Higher-order optimality conditions of robust Benson proper efficient solutions in uncertain vector optimization problems
In this article, we study higher-order optimality conditions of robust Benson proper efficient solutions in uncertain vector optimization problems....
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Robust duality for robust efficient solutions in uncertain vector optimization problems
In this paper, we introduce second-order subdifferentials of vector-valued maps and single-valued maps, respectively, and discuss some properties of...
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An efficient parametric finite difference and orthogonal spline approximation for solving the weakly singular nonlinear time-fractional partial integro-differential equation
In this paper, a numerical method is presented to solve a nonlinear weakly singular time-fractional partial integro–differential equation with Caputo...
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Deep learning the efficient frontier of convex vector optimization problems
In this paper, we design a neural network architecture to approximate the weakly efficient frontier of convex vector optimization problems (CVOP)...
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Approximate solutions for set optimization with an order cone that has nonempty quasirelative interiors
In a real normed linear space, when the quasirelative interior is not empty, a class of order relation is introduced with Minkowski difference. Two...
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An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions
This paper is concerned with the numerical solution of Volterra integral equations of the third kind with non-smooth solutions based on the recursive...
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MDSS-based iteration method for weakly nonlinear systems with complex coefficient matrices
In this paper,we devote to improve an effective iterative method for solving weakly nonlinear systems with large sparse complex symmetric Jacobian...
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Optimality conditions for robust weak sharp efficient solutions of nonsmooth uncertain multiobjective optimization problems
In this paper, we investigate an uncertain multiobjective optimization problem involving nonsmooth and nonconvex functions. The notion of a...
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Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions
We construct an importance sampling method for computing statistics related to rare events for weakly interacting diffusions. Standard Monte Carlo...
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Characterization of the weakly efficient solutions in nonsmooth quasiconvex multiobjective optimization
In this paper, we establish necessary and sufficient conditions to characterize weakly efficient solutions in nonsmooth quasiconvex multiobjective...
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An Echelon Form of Weakly Infeasible Semidefinite Programs and Bad Projections of the psd Cone
A weakly infeasible semidefinite program (SDP) has no feasible solution, but it has approximate solutions whose constraint violation is arbitrarily...
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A high-order compact ADI finite difference scheme on uniform meshes for a weakly singular integro-differential equation in three space dimensions
We propose a new compact alternating direction implicit (ADI) finite difference scheme on uniform meshes for a weakly singular integro-differential...
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On Approximate Solutions of a Nonlinear Periodic Boundary-Value Problem with Switching in the Case of Parametric Resonance by the Newton–Kantorovich Method
We study the problem of determination of conditions for the existence of solutions to weakly nonlinear periodic boundary-value problems for systems...
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Numerical approach for weakly singular equation with nonlinear delay
Solving weakly singular equations has wide applications in engineering and science. The delay term makes it difficult for most existing solvers to...
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Boubaker operational matrix method for solving fractional weakly singular two-dimensional partial Volterra integral equation
The aim of the present paper is to suggest a novel technique based on the operational matrix approach for solving a fractional weakly singular...
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Second-order weakly composed adjacent-generalized contingent epiderivatives and applications to composite set-valued optimization problems
In the paper, we introduce the second-order weakly composed adjacent-generalized contingent epiderivative for set-valued maps. Then we gain a few...