Existence of projected solutions for quasi-variational hemivariational inequality-Reference-Cited by-同舟云学术

Existence of projected solutions for quasi-variational hemivariational inequality

Published:2024-01-01 Issue:1 Volume:57 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Guan Fei¹,Cen Jinxia¹,Chen Boling²,Yao Jen-Chih³

Affiliation:

1. School of Mathematical Sciences, Zhejiang Normal University , Jinhua 321004 , Zhejiang , P.R. China

2. Center for Applied Mathematics of Guangxi, and Guangxi Colleges and Universities, and Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University , Yulin 537000 , Guangxi , P.R. China

3. Center for General Education, China Medical University , Taichuug 406040 , Taiwan

Abstract

Abstract In this short article, we prove the existence of projected solutions to a class of quasi-variational hemivariational inequalities with non-self-constrained mapping, which generalizes the results of Allevi et al. (Quasi-variational problems with non-self map on Banach spaces: Existence and applications, Nonlinear Anal. Real World Appl. 67 (2022), 103641, DOI: https://doi.org/10.1016/j.nonrwa.2022.103641.)

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/dema-2023-0139/pdf

Reference23 articles.

1. D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and Their Applications, SIAM, New York, 2000.

2. G. Fichera, Problemi Elastostatici con Vincoli Unilaterali: il Problema di Signorini con Ambigue Condizioni al Contorno, Memorie DellaAccademia Nazionale Dei Lincei, 1964.

3. S. D. Zeng and S. Migórski, Noncoercive hyperbolic variational inequalities with applications to contact mechanics, J. Math. Anal. Appl. 455 (2017), no. 1, 619–637, DOI: https://doi.org/10.1016/j.jmaa.2017.05.072.

4. R. T. Rockafellar and J. Sun, Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging, Math. Program. 174 (2019), no. 1–2, 453–471, DOI: https://doi.org/10.1007/s10107-018-1251-y.

5. D. Chan and J. S. Pang, The generalized Quasi variational inequality problem, Math. Oper. Res. 7 (1982), no. 2, 211–222, DOI: https://doi.org/10.1287/moor.7.2.211.