ON A CLASS OF SADDLE POINT PROBLEMS AND CONVERGENCE RESULTS-Reference-Cited by-同舟云学术

ON A CLASS OF SADDLE POINT PROBLEMS AND CONVERGENCE RESULTS

Published:2020-10-13 Issue:4 Volume:25 Page:608-621
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
Short-container-title:

Author:

Cojocaru Mariana Chivu¹^ORCID,Matei Andaluzia²^ORCID

Affiliation:

1. Doctoral School of Sciences, University of Craiova, A.I. Cuza 13, 200585 Craiova, Romania

2. Department of Mathematics, University of Craiova, A.I. Cuza 13, 200585 Craiova, Romania

Abstract

We consider an abstract mixed variational problem consisting of two inequalities. The ﬁrst one is governed by a functional φ, possibly non-diﬀerentiable. The second inequality is governed by a nonlinear term depending on a non negative parameter ǫ. We study the existence and the uniqueness of the solution by means of the saddle point theory. In addition to existence and uniqueness results, we deliver convergence results for ǫ → 0. Finally, we illustrate the abstract results by means of two examples arising from contact mechanics.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference20 articles.

1. Well-posedness of a class of generalized mixed hemivariational–variational inequalities

2. Finite Elements

3. Functional Analysis, Sobolev Spaces and Partial Differential Equations

4. Solvability of a mixed variational problem;R. Ciurcea;Ann. Univ. Craiova,2009

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. THREE WEAK FORMULATIONS FOR AN OBSTACLE MODEL AND THEIR RELATIONSHIP;Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application;2023

2. A Three-Field Variational Formulation for a Frictional Contact Problem with Prescribed Normal Stress;Fractal and Fractional;2022-11-04

3. Variational Approaches for Contact Models with Multi-Contact Zones;Mediterranean Journal of Mathematics;2022-09-09

4. On a class of generalized saddle-point problems arising from contact mechanics;Fixed Point Theory and Algorithms for Sciences and Engineering;2022-06-27

5. On a new class of abstract mixed variational–hemivariational problems;Communications in Nonlinear Science and Numerical Simulation;2022-01