The Convergence Results of Differential Variational Inequality Problems

被引：3
作者：
Chang, Shih-Sen [1 ]
Salahuddin [2 ]
Wang, Lin [3 ]
Ma, Zhaoli [4 ]
机构：
[1] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan
[2] Jazan Univ, Dept Math, Jazan 45142, Saudi Arabia
[3] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China
[4] Yunnan Open Univ, Coll Publ Fdn, Kunming 650221, Yunnan, Peoples R China
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 04期
关键词：
differential variational inequality; unilateral constraint; penalty method; Mosco convergence; initial and boundary value problem; inverse strongly monotonicity; Lipschitz continuity; GLOBAL BIFURCATION; PERIODIC-SOLUTIONS; EXISTENCE; PENALTY;
D O I：
10.3390/sym14040760
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this work, we suggest a differential variational inequality in reflexive Banach spaces and construct a sequence with a set of constraints and a penalty parameter. We use the penalty method to prove a unique solution to the problem and make suitable assumptions to prove the convergence of the sequence. The proof is based on arguments for compactness, symmetry, pseudomonotonicity, Mosco convergence, inverse strong monotonicity and Lipschitz continuity. Finally, we discuss the boundary value problem for the differential variational inequality problem as an application.
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页数：16
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