ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A CLASS OF VARIATIONAL INEQUALITIES WITH APPLICATIONS TO THE SIGNORINI PROBLEM IN MECHANICS

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (5): 425-431.

ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A CLASS OF VARIATIONAL INEQUALITIES WITH APPLICATIONS TO THE SIGNORINI PROBLEM IN MECHANICS

张石生¹, 向淑文²

1. Sichuan University, Chengdu;
2. Guizhou Normal University, Guiyang

收稿日期:1990-02-24 出版日期:1991-05-18 发布日期:1991-05-18
基金资助:
Supported by the National Natural Science Foundation of China

ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A CLASS OF VARIATIONAL INEQUALITIES WITH APPLICATIONS TO THE SIGNORINI PROBLEM IN MECHANICS

Zhang Shi-sheng¹, Xiang Shu-wen²

1. Sichuan University, Chengdu;
2. Guizhou Normal University, Guiyang

Received:1990-02-24 Online:1991-05-18 Published:1991-05-18
Supported by:
Supported by the National Natural Science Foundation of China

摘要/Abstract

摘要： In this paper, we introduce a new unified and general class of variational inequalities, and show some existence and uniqueness results of solutions for this kind of variational inequalities. As an application, we utilize the results presented in this paper to study the Signorini problem in mechanics.

关键词: variational inequality, KKM mappings, Signorini problem

Abstract: In this paper, we introduce a new unified and general class of variational inequalities, and show some existence and uniqueness results of solutions for this kind of variational inequalities. As an application, we utilize the results presented in this paper to study the Signorini problem in mechanics.

Key words: variational inequality, KKM mappings, Signorini problem

张石生;向淑文. ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A CLASS OF VARIATIONAL INEQUALITIES WITH APPLICATIONS TO THE SIGNORINI PROBLEM IN MECHANICS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(5): 425-431.

Zhang Shi-sheng;Xiang Shu-wen. ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A CLASS OF VARIATIONAL INEQUALITIES WITH APPLICATIONS TO THE SIGNORINI PROBLEM IN MECHANICS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(5): 425-431.

[1]	Yu HAN, Nanjing HUANG, Jue LU, Yibin XIAO. Existence and stability of solutions to inverse variational inequality problems[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(5): 749-764.
[2]	H. BENAISSA, EL-H. ESSOUFI, R. FAKHAR. Existence results for unilateral contact problem with friction of thermo-electro-elasticity[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(7): 911-926.
[3]	Yibin XIAO, Guoji TANG, Xianjun LONG, Nanjing HUANG. Convergence analysis on Browder-Tikhonov regularization for second-order evolution hemivariational inequality[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(10): 1371-1382.
[4]	李曦袁达明. Asymptotic approximation method for elliptic variational inequality of first kind[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(3): 381-390.
[5]	张丽丽;李兴斯. New smooth gap function for box constrained variational inequalities[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(1): 15-26.
[6]	王亚琴曾六川. Hybrid projection method for generalized mixed equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces[J]. Applied Mathematics and Mechanics (English Edition), 2011, 2(32): 251-264.
[7]	唐国吉黄南京. Projected subgradient method for non-Lipschitz set-valued mixed variational inequalities[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(10): 1345-1356.
[8]	陈光华陈光明戴智华. Modified domain decomposition method for Hamilton-Jacobi-Bellman equations[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(12): 1585-1592.
[9]	Ivan SESTAK Bosko S. JOVANOVIC. Approximation of thermoelasticity contact problem with nonmonotone friction[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(1): 77-86.
[10]	张石生. Generalized mixed equilibrium problem in Banach spaces[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(9): 1105-1112.
[11]	刘英. Strong convergence theorem for relatively nonexpansive mapping and inverse-strongly-monotone mapping in a Banach space[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(7): 925-932.
[12]	张石生饶若峰黄家琳. Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(6): 685-694.
[13]	胡艳红;宋文. Generalized gap functions and error bounds for generalized variational inequalities[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(3): 313-321.
[14]	郝彦. Some results of variational inclusion problems and fixed point problems with applications[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(12): 1589-.
[15]	陆伟刚;郭兴明;周世兴. OPTIMAL CONTROL OF HYPERBOLIC H-HEMIVARIATIONAL INEQUALITIES WITH STATE CONSTRAINTS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(7): 723-729.

ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A CLASS OF VARIATIONAL INEQUALITIES WITH APPLICATIONS TO THE SIGNORINI PROBLEM IN MECHANICS

ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A CLASS OF VARIATIONAL INEQUALITIES WITH APPLICATIONS TO THE SIGNORINI PROBLEM IN MECHANICS

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价