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Variance-Based Single-Call Proximal Extragradient Algorithms for Stochastic Mixed Variational Inequalities

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 190 (2)

In the study of stochastic variational inequalities, the extragradient algorithms attract much attention. However, such schemes require two evaluation......

On the Structural Stability of Values for Cooperative Games

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 189 (3)

It is generally assumed that any set of players can form a feasible coalition for classical cooperative games. But, in fact, some players may withdraw......

Regularized Sample Average Approximation Approach for Two-Stage Stochastic Variational Inequalities

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 190 (2)

Sample average approximation (SAA) approach for two-stage stochastic variational inequalities (SVIs) with continuous probability distributions, where ......

Set Relations and Weak Minimal Solutions for Nonconvex Set Optimization Problems with Applications

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 190 (3)

In this paper, we give some properties concerned with weak minimal solutions of nonconvex set optimization problems. We also give some properties of t......

Level-Set Subdifferential Error Bounds and Linear Convergence of Bregman Proximal Gradient Method

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 189 (3)

In this work, we develop a level-set subdifferential error bound condition with an eye toward convergence rate analysis of a variable Bregman proximal......

Regularization Parameter Selection for the Low Rank Matrix Recovery

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 189 (3)

A popular approach to recover low rank matrices is the nuclear norm regularized minimization (NRM) for which the selection of the regularization param......

Nonemptiness and Compactness of Solution Sets to Weakly Homogeneous Generalized Variational Inequalities

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 189 (3)

In this paper, we deal with the weakly homogeneous generalized variational inequality, which provides a unified setting for several special variationa......

New Approximation Algorithms for Weighted Maximin Dispersion Problem with Box or Ball Constraints

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 190 (2)

In this paper, we propose new approximation algorithms for a NP-hard problem, i.e., weighted maximin dispersion problem. By using a uniformly distribu......

Combinatorial Optimization Algorithms for detecting Collapse Mechanisms of Concrete Slabs

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 190 (2)

Nowadays, large part of the technical knowledge associated with collapses of slabs is based on past failures of bridges, floors, flat roofs and balcon......

Newton's Method for M-Tensor Equations

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 190 (2)

We are concerned with the tensor equations whose coefficient tensors are M-tensors. We first propose a Newton method for solving the equation with a p......

A Projected Subgradient Method for Nondifferentiable Quasiconvex Multiobjective Optimization Problems

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 190 (1)

In this paper, we propose a projected subgradient method for solving constrained nondifferentiable quasiconvex multiobjective optimization problems. T......

A Full-Newton Step Infeasible Interior-Point Method for the Special Weighted Linear Complementarity Problem

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 190 (1)

As an extension of the complementarity problem (CP), the weighted complementarity problem (wCP) is a large class of equilibrium problems with wide app......

Kurdyka-Lojasiewicz Property of Zero-Norm Composite Functions (vol 188, pg 94, 2021)

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 190 (1)

A correction to this paper has been published: http://fcb4e4bc18db4e2ead7856820ff3646c.ebe14e7a.libvpn.zuel.edu.cn/10.1007/s10957-020-01779-7.

A Class of Accelerated Subspace Minimization Conjugate Gradient Methods

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 190 (3)

The subspace minimization conjugate gradient methods based on Barzilai-Borwein method (SMCG_BB) and regularization model (SMCG_PR), which were propose......

Generalized Bregman Envelopes and Proximity Operators

期刊: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021; 190 (3)

Every maximally monotone operator can be associated with a family of convex functions, called the Fitzpatrick family or family of representative funct......

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