Xue Zhiqun

                              

M.S., Professor

Department of Mathematics and Physics, Shijiazhuang Tiedao University

Education

•M.S., Function Analysis, Harbin University of Science and Technology

•B.S., Mathematics Education, Hebei Normal University


Research Areas

Fixed Point Theory and Applications


Research Profile

Dr. Zhiqun Xue is a Professor of Mathematics in Shijiazhuang Tiedao University. His research fields include Fixed Point Theory and Applications, the geometric theory of Banach spaces. Dr. Xue teaches Function Analysis, Nonlinear Function Analysis, Fixed Point Theory and Applicat-

ions, Iteration Methods at Shijiazhuang Tiedao University. Dr. Xue has published more than 30 papers in some important journals, where ten papers was refered by SCI.


Selected Recent Publications

1. Xue Zhiqun,The equivalence among the modified Mann-Ishikawa and Noor iterations for uniformly L-Lipschitzian mappings in Banach spaces, Journal of Mathematics Inequalities, Vol: 4(3), page: 345-354 SEP 2010 (SCI)

2. B. E. Rhoades and Zhiqun Xue, Comparison of the Rate of Convergence among Picard, Mann, Ishikawa, and Noor Iterations Applied to Quasi-contractive Maps, Fixed Point Theory and Appli-

cations, Volume 2010 (2010), Article ID 169062, 12 pages (SCI)

3. Zhiqun Xue, Guiwen Lv and B. E. Rhoades, On Equivalence of Some Iterations Convergence for Quasi-Contraction Maps in Convex Metric Spaces,Fixed Point Theory and Applications, Volume 2010 (2010), Article ID 252871, 10 pages (SCI)

4. Zhiqun Xue, The convergence theorems for common fixed points of uniformly L-Lipschitzian asymptotically $\Phi$-pseudocontractive mappings, Bull.Korean Math.Soc. 47(2010), No.2, pp. 295-305 (SCI)

5. Xue Zhiqun, On the convergence between the Mann iteration and Ishikawa iteration for the  generalized Lipschitzian and $\Phi$-strongly pseudocontractive mappings, Bulletin of the Korean Mathematical Society, Volume: 45 Issue: 4 Pages: 635-644  Published: NOV 2008 (SCI)

6. Zhiqun Xue, The comparison of the convergence speed between Picard, Mann, Krasnoselskil and Ishikawa Iterations in Banach spaces, Fixed Point Theory and Applications, No.1 2008 (SCI)

7. Xue Zhiqun, Fan Ruiqin, Some comments on Noor's iterations in Banach spaces, Applied Mathematics and Computation, Volume: 206,Issue: 1, Pages: 12-15, Published: DEC 1 2008 (SCIEI)

8. Xue Zhiqun, Remarks of equivalence among Picard, Mann and Ishikawa iteration in normed spaces, Fixed Point Theory and Applications, No.2, 2007 (SCI)

9. Xue Zhiqun,Tian Hong, Remark on stability of Ishikawa iterative procedures, Applied Math-

ematics and Mechanics, No.12, 2002 (SCI)

10. Xue zhiqun and Zhou haiyun, Iterative Approximation with Errors of Fixed Point for a Class of Nonlinear Operator with a Bounded Range, Applied Mathematics and Mechanics, 1999, 20, (1), 99-104 (SCI)