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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 11
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Articles

Fully history-dependent quasivariational inequalities in contact mechanics

Mircea SofoneaLaboratoire de Mathématiques et Physique, Université de Perpignan Via Domitia, Perpignan, France.View further author information
&
Yi-bin XiaoSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, P.R. China.Correspondence[email protected]
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Pages 2464-2484 | Received 19 Jun 2015, Accepted 09 Sep 2015, Published online: 07 Oct 2015

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Furi Guo, JinRong Wang & Liang Lu. (2023) A new class of fully history-dependent variational-hemivariational inequalities with application to contact mechanics. Optimization 0:0, pages 1-36.
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Tao Chen, Nan-jing Huang & Yi-bin Xiao. (2020) Variational and numerical analysis of a dynamic viscoelastic contact problem with friction and wear. Optimization 69:9, pages 2003-2031.
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Zhong-bao Wang, Zhang-you Chen, Yi-bin Xiao & Cong Zhang. (2020) A new projection-type method for solving multi-valued mixed variational inequalities without monotonicity. Applicable Analysis 99:9, pages 1453-1466.
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Yong-Kui Chang & Yatian Pei. (2020) Degenerate type fractional evolution hemivariational inequalities and optimal controls via fractional resolvent operators. International Journal of Control 93:3, pages 528-540.
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Ahlem Benraouda & Mircea Sofonea. (2017) A convergence result for history-dependent quasivariational inequalities. Applicable Analysis 96:15, pages 2635-2651.
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Articles from other publishers (44)

Boling CHEN & Vo Minh TAM. (2023) Error bounds for a class of history-dependent variational inequalities controlled by $\mathcal{D}$-gap~functions. Hacettepe Journal of Mathematics and Statistics 52:6, pages 1550-1566.
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Stanisław Migórski & Dong-ling Cai. (2023) A general differential quasi variational–hemivariational inequality: Well-posedness and application. Communications in Nonlinear Science and Numerical Simulation 125, pages 107379.
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Wenqiang Xiao & Min Ling. (2023) Virtual Element Method for a History-Dependent Variational-Hemivariational Inequality in Contact Problems. Journal of Scientific Computing 96:3.
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Stanisław Migórski & Dong-ling Cai. (2023) A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics. Applied Mathematics & Optimization 88:1.
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Xu Chu, Tao Chen, Nan-jing Huang & Yi-bin Xiao. (2023) A new class of differential quasivariational inequalities with an application to a quasistatic viscoelastic frictional contact problem. Communications in Nonlinear Science and Numerical Simulation 117, pages 106970.
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Leila Ait kaki, Nouria Arar, Mohammed S. Abdo & M. Daher Albalwi. (2023) Existence of a Generalized Solution for the Fractional Contact Problem. Journal of Mathematics 2023, pages 1-12.
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Mircea SofoneaMircea Sofonea. 2023. Well-Posed Nonlinear Problems. Well-Posed Nonlinear Problems 3 43 .
Stanisław Migórski, Yunru Bai & Shengda Zeng. (2022) A new class of history-dependent quasi variational–hemivariational inequalities with constraints. Communications in Nonlinear Science and Numerical Simulation 114, pages 106686.
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Stanisław Migórski. (2022) Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications. Nonlinear Analysis: Real World Applications 67, pages 103593.
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Jianwei Hao, JinRong Wang & Jiangfeng Han. (2021) History-dependent fractional hemivariational inequality with time-delay system for a class of new frictionless quasistatic contact problems. Mathematics and Mechanics of Solids 27:6, pages 1032-1052.
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Wei Xu, Cheng Wang, Mingyan He, Wenbin Chen, Weimin Han & Ziping Huang. (2021) Numerical analysis of doubly-history dependent variational inequalities in contact mechanics. Fixed Point Theory and Algorithms for Sciences and Engineering 2021:1.
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Mircea Sofonea, Yi-bin Xiao & Sheng-da Zeng. (2021) Generalized penalty method for history-dependent variational–hemivariational inequalities. Nonlinear Analysis: Real World Applications 61, pages 103329.
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Tao Chen, Nan-jing Huang, Xue-song Li & Yun-zhi Zou. (2021) A new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanics. Communications in Nonlinear Science and Numerical Simulation 101, pages 105886.
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Souleiman Yahyeh. (2021) Convergences and numerical analysis of a contact problem with normal compliance and unilateral constraint. African Journal of Mathematics and Computer Science Research 14:1, pages 13-23.
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Stanisław Migórski. (2021) A class of history-dependent systems of evolution inclusions with applications. Nonlinear Analysis: Real World Applications 59, pages 103246.
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Yi-bin Xiao & Mircea Sofonea. (2019) Generalized Penalty Method for Elliptic Variational–Hemivariational Inequalities. Applied Mathematics & Optimization 83:2, pages 789-812.
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Yatian Pei & Yong-Kui Chang. (2020) Approximate Controllability for Stochastic Fractional Hemivariational Inequalities of Degenerate Type. Fractional Calculus and Applied Analysis 23:5, pages 1506-1531.
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Mircea Sofonea. (2020) Tykhonov triples and convergence results for history-dependent variational inequalities. ITM Web of Conferences 34, pages 01006.
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Mircea Sofonea, Yi-bin Xiao & Maxime Couderc. (2019) Optimization problems for a viscoelastic frictional contact problem with unilateral constraints. Nonlinear Analysis: Real World Applications 50, pages 86-103.
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Stanisław Migórski & Shengda Zeng. (2019) Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics. Numerical Algorithms 82:2, pages 423-450.
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Mircea Sofonea & Yi-bin Xiao. (2019) On the Well-Posedness Concept in the Sense of Tykhonov. Journal of Optimization Theory and Applications 183:1, pages 139-157.
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Mircea Sofonea, Andaluzia Matei & Yi-bin Xiao. (2019) Optimal control for a class of mixed variational problems. Zeitschrift für angewandte Mathematik und Physik 70:4.
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Yi-bin Xiao & Mircea Sofonea. (2019) On the optimal control of variational–hemivariational inequalities. Journal of Mathematical Analysis and Applications 475:1, pages 364-384.
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Mircea Sofonea & Yi-bin Xiao. (2019) Boundary optimal control of a nonsmooth frictionless contact problem. Computers & Mathematics with Applications 78:1, pages 152-165.
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Weimin Han & Mircea Sofonea. (2019) Numerical analysis of hemivariational inequalities in contact mechanics. Acta Numerica 28, pages 175-286.
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Mircea Sofonea & Ahlem Benraouda. (2018) Convergence results for primal and dual history-dependent quasivariational inequalities. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 149:2, pages 471-494.
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Wang Chen & Zhiang Zhou. (2019) Characterizations of the Solution Sets of Generalized Convex Fuzzy Optimization Problem. Open Mathematics 17:1, pages 52-70.
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Zhenhai Liu & Mircea Sofonea. (2018) Differential quasivariational inequalities in contact mechanics. Mathematics and Mechanics of Solids 24:3, pages 845-861.
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Stanisław Migórski & Biao Zeng. (2019) On convergence of solutions to history-dependent variational–hemivariational inequalities. Journal of Mathematical Analysis and Applications 471:1-2, pages 496-518.
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Mircea Sofonea. (2018) History-Dependent Inequalities for Contact Problems with Locking Materials. Journal of Elasticity 134:2, pages 127-148.
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Mircea Sofonea, Yi-bin Xiao & Maxime Couderc. (2018) Optimization problems for elastic contact models with unilateral constraints. Zeitschrift für angewandte Mathematik und Physik 70:1.
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Qiao-yuan Shu, Rong Hu & Yi-bin Xiao. (2018) Metric characterizations for well-posedness of split hemivariational inequalities. Journal of Inequalities and Applications 2018:1.
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Mircea Sofonea. (2018) A nonsmooth static frictionless contact problem with locking materials. Analysis and Applications 16:06, pages 851-874.
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Stanisław Migórski & Shengda Zeng. (2018) Hyperbolic hemivariational inequalities controlled by evolution equations with application to adhesive contact model. Nonlinear Analysis: Real World Applications 43, pages 121-143.
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Stanisław Migórski & Shengda Zeng. (2018) Penalty and regularization method for variational-hemivariational inequalities with application to frictional contact. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 98:8, pages 1503-1520.
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Xue-ping Luo. (2018) Solvability of Some Perturbed Generalized Variational Inequalities in Reflexive Banach Spaces. Journal of Function Spaces 2018, pages 1-7.
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Mircea Sofonea, Stanisław Migórski & Weimin Han. (2018) A penalty method for history-dependent variational–hemivariational inequalities. Computers & Mathematics with Applications 75:7, pages 2561-2573.
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Shengda Zeng, Zhenhai Liu & Stanislaw Migorski. (2018) A class of fractional differential hemivariational inequalities with application to contact problem. Zeitschrift für angewandte Mathematik und Physik 69:2.
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Jun Feng, Wei Li, Hui Chen & Yuanchun Chen. (2018) A CLASS OF DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES. Journal of Applied Analysis & Computation 8:6, pages 1664-1678.
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Mircea Sofonea & Aissa Benseghir. (2016) A nonlinear history-dependent boundary value problem. Quarterly of Applied Mathematics 75:1, pages 181-199.
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Stanis?aw Mig?rski & Mircea Sofonea. 2017. Mathematical Modelling in Solid Mechanics. Mathematical Modelling in Solid Mechanics 123 134 .
Aissa Benseghir & Mircea Sofonea. (2016) An Evolutionary Boundary Value Problem. Mediterranean Journal of Mathematics 13:6, pages 4463-4480.
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Mircea Sofonea & Yahyeh Souleiman. (2015) A Viscoelastic Sliding Contact Problem with Normal Compliance, Unilateral Constraint and Memory Term. Mediterranean Journal of Mathematics 13:5, pages 2863-2886.
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Mircea Sofonea & Stanisław Migórski. (2016) A class of history-dependent variational-hemivariational inequalities. Nonlinear Differential Equations and Applications NoDEA 23:3.
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