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  1. No Access

    Article

    A Modified Tseng Splitting Method with Double Inertial Steps for Solving Monotone Inclusion Problems

    In this paper, based on a double inertial extrapolation steps strategy and relaxation techniques, we introduce a modified Tseng splitting method with double inertial extrapolation steps and self-adaptive step ...

    Zhong-bao Wang, Zhen-yin Lei, **n Long, Zhang-you Chen in Journal of Scientific Computing (2023)

  2. No Access

    Article

    Inertial projection and contraction algorithms with larger step sizes for solving quasimonotone variational inequalities

    This paper deals with a class of inertial projection and contraction algorithms for solving a variational inequality problem involving quasimonotone and Lipschitz continuous map**s in Hilbert spaces. The alg...

    Zhong-bao Wang, Xue Chen, Jiang Yi, Zhang-you Chen in Journal of Global Optimization (2022)

  3. No Access

    Article

    A New Method for Solving Variational Inequalities and Fixed Points Problems of Demi-Contractive Map**s in Hilbert Spaces

    In this paper, an efficient algorithm for solving variational inequalities and fixed points problems of demi-contractive map**s is proposed in Hilbert spaces. The algorithm uses variable stepsizes which are ...

    Xue Chen, Zhong-bao Wang, Zhang-you Chen in Journal of Scientific Computing (2020)

  4. No Access

    Article

    Degree Theory for Generalized Mixed Quasi-variational Inequalities and Its Applications

    The present paper is devoted to building degree theory for a generalized mixed quasi-variational inequality in finite dimensional spaces. Then, by employing the obtained results, we prove the existence and sta...

    Zhong-bao Wang, Yi-bin **ao, Zhang-you Chen in Journal of Optimization Theory and Applica… (2020)

  5. Article

    Open Access

    Gap functions and error bounds for vector inverse mixed quasi-variational inequality problems

    This paper is devoted to investigating a vector inverse mixed quasi-variational inequality (VIMQVI). Our aim is to obtain error bounds for VIMQVI in terms of different gap functions, i.e., the residual gap fun...

    Zhong-bao Wang, Zhang-you Chen, Zhe Chen in Fixed Point Theory and Applications (2019)

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  6. No Access

    Article

    Lagrangian methods for optimal control problems governed by a mixed quasi-variational inequality

    This paper studies an optimal control problem where the state of the system is defined by a mixed quasi-variational inequality. Several sufficient conditions for the zero duality gap property between the optim...

    Zhong-bao Wang, Zi-li Chen, Zhang-you Chen, Si-sheng Yao in Optimization Letters (2018)

  7. No Access

    Article

    Existence of variational quasi-hemivariational inequalities involving a set-valued operatorand a nonlinear term

    This paper is devoted to the existence of solutions for a class of variational quasi-hemivariational inequalities involving a lower hemicontinuous set-valued operator and a nonlinear term in reflexive Banach s...

    Guo-ji Tang, **ng Wang, Zhong-bao Wang in Optimization Letters (2015)

  8. No Access

    Chapter

    Existence of Solutions for Variational-Like Hemivariational Inequalities Involving Lower Semicontinuous Maps

    The main aim of this chapter is to investigate the existence of solutions in connection with a class of variational-like hemivariational inequalities in reflexive Banach spaces. Some existence theorems of solu...

    Guo-ji Tang, Zhong-bao Wang… in Optimization Methods, Theory and Applications (2015)

  9. No Access

    Article

    Degree theory for a generalized set-valued variational inequality with an application in Banach spaces

    In this paper, a degree theory for a generalized set-valued variational inequality is built in a Banach space. As an application, an existence result of solutions for the generalized set-valued variational ine...

    Zhong Bao Wang, Nan **g Huang in Journal of Global Optimization (2011)

  10. No Access

    Article

    Existence and iterative algorithm of solutions for a system of generalized set-valued strongly nonlinear mixed variational-like inequalities problems in Banach spaces

    In this paper, we introduce and study a new system of generalized set-valued strongly nonlinear mixed variational-like inequalities problems and its related auxiliary problems in reflexive Banach spaces. The a...

    Zhong Bao Wang, **e ** Ding in Journal of Applied Mathematics and Computing (2010)