Results 41 to 50 of about 22,159,556 (179)

Multistep Hybrid Extragradient Method for Triple Hierarchical Variational Inequalities

Abstract and Applied Analysis, 2013
We consider a triple hierarchical variational inequality problem (THVIP), that is, a variational inequality problem defined over the set of solutions of another variational inequality problem which is defined over the intersection of the fixed point set ...
Zhao-Rong Kong, Lu-Chuan Ceng, Qamrul Hasan Ansari, Chin-Tzong Pang   +3 more
doaj   +1 more source

A New Variational Inequality with its Application [PDF]

, 2009
In this paper, we suggest the iterative algorithm for a variational inequality by using the auxiliary principle technique, which is closely related to the optimal boundary control of time-varying population system with age-dependence and spatial ...
Shi, Chao-Feng
core   +5 more sources

A Minimax-Program-Based Approach for Robust Fractional Multi-Objective Optimization

Mathematics
In this paper, by making use of some advanced tools from variational analysis and generalized differentiation, we establish necessary optimality conditions for a class of robust fractional minimax programming problems.
Henan Li, Zhe Hong, Do Sang Kim
doaj   +1 more source

Flexible and Efficient Inference with Particles for the Variational Gaussian Approximation

Entropy, 2021
Variational inference is a powerful framework, used to approximate intractable posteriors through variational distributions. The de facto standard is to rely on Gaussian variational families, which come with numerous advantages: they are easy to sample ...
Théo Galy-Fajou, Valerio Perrone, Manfred Opper   +2 more
doaj   +1 more source

Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities

Journal of Mathematics, 2021
In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor’s subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding ...
Danfeng Wu, Li-Jun Zhu, Zhuang Shan, Tzu-Chien Yin   +3 more
doaj   +1 more source

Modified Fractional Variational Iteration Method for Solving the Generalized Time-Space Fractional Schrödinger Equation

The Scientific World Journal, 2014
Based on He’s variational iteration method idea, we modified the fractional variational iteration method and applied it to construct some approximate solutions of the generalized time-space fractional Schrödinger equation (GFNLS).
Baojian Hong, Dianchen Lu
doaj   +1 more source

Cost‐Effective Convective‐Scale Static Background‐Error Covariances: Methodology and Experiment in RRFS Hybrid EnVar System for Direct Radar Reflectivity Data Assimilation Over the CONUS

Journal of Advances in Modeling Earth Systems
This study proposes a cost‐effective convective‐scale static background‐error covariance matrix (CSS B) approach and evaluates the approach for direct radar reflectivity data assimilation (DA) using the Finite‐Volume Cubed‐Sphere limited‐area model (FV3 ...
Yue Yang, Xuguang Wang, Yongming Wang
doaj   +1 more source

Gap Functions and Algorithms for Variational Inequality Problems

Journal of Applied Mathematics, 2013
We solve several kinds of variational inequality problems through gap functions, give algorithms for the corresponding problems, obtain global error bounds, and make the convergence analysis.
Congjun Zhang, Baoqing Liu, Jun Wei
doaj   +1 more source

Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space

Journal of Inequalities and Applications, 2017
In this paper, we consider the algorithm proposed in recent years by Censor, Gibali and Reich, which solves split variational inequality problem, and Korpelevich’s extragradient method, which solves variational inequality problems. As our main result, we
Ming Tian, Bing-Nan Jiang
doaj   +1 more source

Information-Geometric Models in Data Analysis and Physics II

Mathematics
This paper continues the development of information-geometric models for data analysis and physics by focusing on their formulation and interpretation through variational principles.
D. Bernal-Casas, José M. Oller
doaj   +1 more source