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- Xiaolong Qin, Sun Young Cho, Shin Min Kang
- J. Global Optimization
- 2010

- Zeqing Liu, Beibei Zhu, Shin Min Kang, Gwang-Il Kim
- Int. J. Math. Mathematical Sciences
- 2005

A new class of system of generalized parametric nonlinear quasivariational inequalities involving various classes of mappings is introduced and studied. With the properties of maximal monotone mappings, the equivalence between the class of system of generalized parametric nonlinear quasivariational inequalities and a class of fixed point problems is proved… (More)

- Xiaolong Qin, Yeol Je Cho, Shin Min Kang, Haiyun Zhou
- Appl. Math. Lett.
- 2009

The purpose of this paper is to introduce a modified Halpern-type iteration algorithm and prove strong convergence of the algorithm for quasi-φ-asymptotically non-expansive mappings. Our results improve and extend the corresponding results announced by many others.

- Xiaolong Qin, Min Kang, S. M. Kang
- 2009

In this paper, we propose an explicit viscosity approximation method for finding a common element of the set of fixed points of strict pseudo-contractions and of the set of solutions of variational inequalities with inverse-strongly monotone mappings. Strong convergence theorems are established in the framework of Hilbert spaces. 2000 Mathematics Subject… (More)

- Yonghong Yao, Yeong-Cheng Liou, Shin Min Kang
- Computers & Mathematics with Applications
- 2010

In this paper, we suggest and analyze a three-step iterative scheme for finding the common element of the set of the solutions of the general variational inequalities involving two nonlinear operators and the set of the common fixed point of nonexpansive mappings. We also consider the convergence analysis of the suggested iterative schemes under some mild… (More)

- Sun Young Cho, Shin Min Kang
- Appl. Math. Lett.
- 2011

- Giuseppe Marino, Vittorio Colao, Xiaolong Qin, Shin Min Kang
- Computers & Mathematics with Applications
- 2009

In this paper, we introduce amodifiedMann iterative process for approximating a common fixedpoint of a finite family of strict pseudo-contractions inHilbert spaces.We establish the strong convergence theorem of the general iteration scheme under some mild conditions. Our results extend and improve the recent ones announced by many others. © 2008 Elsevier… (More)

- Xiaolong Qin, Shin Min Kang, Yeol Je Cho
- J. Global Optimization
- 2010

In this paper, we introduce two kinds of iterative algorithms for the problem of finding zeros of maximal monotone operators. Weak and strong convergence theorems are established in a real Hilbert space. As applications, we consider a problem of finding a minimizer of a convex function.