Work

Weighted Method for Uncertain Nonlinear Variational Inequality Problems

Year: 2019

Type: article

Abstract: A convex combined expectations regularized gap function with uncertain variable is presented to deal with uncertain nonlinear variational inequality problems (UNVIP). The UNVIP is transformed into a minimization problem through an uncertain weighted expected residual function. Moreover, the convergence of the global optimal solutions of the uncertain weighted expected residual minimization model is given through the integration by parts method under the compact space of the uncertain event. The limiting behaviors of the transformed model are analyzed. Furthermore, a compact approximation method is proposed in the unbounded uncertain event space. Through analysis of the convergence of UWERM model and reasonable hypothesis, the compact approximation method is verified under the circumstance of Holder continuity.

Source: Mathematics

DOI: 10.3390/math7100974

Authors: Cunlin Li, Mihai Postolache, Zhifu Jia

Institutions: North Minzu University, Nanjing University of Aeronautics and Astronautics, China Medical University, Romanian Academy, Universitatea Națională de Știință și Tehnologie Politehnica București

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,216

Funder: National Natural Science Foundation of China