姓  名：

刘小兰

部  门：

数学与统计学院

性  别：

女

出生年月：

1982.04

毕业院校：

四川师范大学

所学专业：

基础数学

学  位

理学博士

职  称：

教授

教育背景

2010/09-2013/06，四川师范大学，基础数学，博士

2004/09-2007/06，四川师范大学，基础数学，硕士

2000/09-2004/06，四川师范大学，数学与应用数学，学士

工作履历

2020.12至今 四川轻化工大学，教授

2015.11-2020.11  四川理工学院，副教授

2009/10-2015.10 四川理工学院，讲师

教学工作

高等数学、线性代数、实变函数、数学物理方程、模糊数学

研究领域

不动点理论、最优化理论、变分不等式等

文章专著/教材

1.Xiaolan Liu﹡. Common fixed points of   ordered g-contractions in partially ordered metric spaces, Fixed Point Theory and Applications 2014, 2014:28. (SCI：AD2FS)

2．Xiaolan Liu﹡. Quadruple fixed point theorems in partially ordered metric   spaces with mixed g-monotone property, Fixed Point Theory and Applications   2013, 2013:147. (SCI：183RR)

3. Xiaolan Liu﹡. Common fixed point   theorem for six self mappings in Menger space, Journal of Mathematical   Analysis and Applications, 404 (2013), 351-361. (SCI：136UX)

4. Xiaolan Liu﹡ and Siniša Ješic.   Common fixed points of a generalized ordered g-quasicontraction in partially   ordered metric spaces, Fixed Point Theory and Applications 2013, 2013:53.   (SCI：125GD)

5.Xiaolan Liu﹡. Exceptional family of elements for generalized variational   inequalities, Journal of Inequalities and Applications, 2013, 2013:321.(SCI：208EV)

6.Xiaolan Liu﹡, Arslan Hojat Ansari, Sumit Chandok, Choonkil Park. Some new fixed point results in partial ordered metric spaces via admissible mappings and two new functions, Journal of Nonlinear Science and Applications, 9(4), pp 1564-1580, 2016.(SCI)

7.Xiaolan Liu﹡，Mi Zhou. A one-layer recurrent neural network for non-smooth convex optimization subject to linear inequality constraints, Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, 87, pp. 39-46, 2016. (SCI)

8.Mi Zhou, Xiaolan Liu﹡. On coupled common fixed point theorems for Geraghty-type contraction mappings using mixed weakly monotone property in partially ordered S-metric spaces, Journal of Function Spaces., Ariticle ID 7529523, 9 pages, 2016(SCI)

9.Mi Zhou, Xiaolan Liu﹡, Diana Doli´canin-Deki´c, Boˇsko Damjanovi´c. Coupled coincidence point results for Geraghty-type contraction by using monotone property in partially ordered S-metric spaces, Journal of Nonlinear Science and Applications , 9(12), pp 5950–5969, 2016.(SCI)

10. Mi Zhou,  Xiaolan Liu﹡. Further results on the stability of neural network for solving variational inequalities，Journal of Discontinuity, Nonlinearity, and Complexity 5(4) , pp 341–353, 2016.

11. A. H. Ansari, X.L. Liu﹡, V. N. Mishra. On Mittag-Leffler function and beyond, Nonlinear Sci. Lett. A, 8(2), pp187-199，2017.

12. Mi Zhou, Xiao-lan Liu﹡, Boˇsko Damjanovi´c, Stojan Radenovi´c´. -contractive type mappings in S-metric spaces, Journal of Nonlinear Science and Applications,10(2017),1613-1639. ISSN 2008-1898

13. Mi Zhou, Xiao-lan Liu﹡, Yeol Je Cho , Boˇsko Damjanovi´c . Ulam-Hyers stability, well-posedness and limit shadowing property of the fixed point problems for some contractive mappings in -metric spaces, Journal of Nonlinear Science and Applications, 10 (2017), 2296–2308.

14. Xiaolan Liu﹡, Arslan Hojat Ansari, Sumit Chandok, Stojan Radenovi´c´. On Some  Results in metric spaces using auxiliary simulation functions via new functions. Journal of Computational Analisis and Applications, 2018, 24(6):1103-1114.

15. Xiaolan Liu, Mi Zhou﹡, Arslan Hojat Ansari, Nawab Hussain. Fixed point theorems for (ϕ − ψ) contractions in partially ordered metric-like spaces using new auxiliary functions. Filomat, 2018(in press).

16. Mi Zhou, Xiao-lan Liu﹡, Boˇsko Damjanovi´c, Arslan Hojat Ansari, Fixed point theorems for several types of Meir-Keeler contraction mappings in -metric spaces, Journal of Computational Analisis and Applications, 2018，25(7):1337-1353

17. XinYi Yan, Yang Wang, WenHao Hong, XiangYang Cai and XiaoLan Liu* . A Formula to Support an Online Marketing Strategy Implemented on College Students, Journal of Education, Society and Behavioural Science, 2018, 24(1): 1-12. Article no.JESBS.38145

18. Xiao-lan Liu*, Mi Zhou, Boˇsko Damjanovi´c . Common coupled fixed point theorem for Geraghty-type contraction in partially ordered metric spaces. Journal of Function Spaces, 2018, article ID 9063267, 11 pages. doi:10.1155/2018/9063267.

19. Mi Zhou, Xiao-lan Liu﹡, Arslan Hojat Ansari, Boˇsko Damjanovi´c, and Yeol Je Cho. Fixed Point Theorems for rational type contractions in partially ordered S-metric spaces , Journal of Computational Analisis and Applications, 26(5), 2019，803-818.

20. Mi Zhou, Xiao-lan Liu*, Arslan Hojat Ansari, Yeol Je Cho, Stojan Radenovic. Generalized Ulam-Hyers Stability for Generalized types of ()-Meir-Keeler Mappings via Fixed Point Theory in S-metric spaces, Journal of Computational Analisis and Applications, 26(4), 2019, 593-628.

研究项目

1.几类空间中不动点理论、算法及应用研究（面上）（2017JY0125），四川省科技厅，2017.03-2019.03，10万，在研，主持。

2．桥梁检测中基于压缩感知理论的信号采集系统的研究及应用（重点基础）（2015QZJ01），桥梁无损检测与工程计算四川省高校重点实验室，2015.09-2017.12，4万，已结题，主持。

3.偏序度量空间中的公共不动点定理（14ZB0208），四川省教育厅，2014.01/2016.06，1万，已结题，主持。

4.偏序度量空间中映射不动点存在性的研究（2014RC01），四川理工学院，2014.06/2017.06,5万，在研，主持。

5. 优化问题的神经网络模型的稳定性分析（114014），海南省科技厅科研基金项目，2014/06-2016/12，2万元，已结题，主持。

6. 偏序度量空间中的公共不动点定理（14ZB0208），四川省教育厅科研基金项目，2014/01-2015/12，2万元，已结题，主持。

7. 映射的混沌性及其拓扑推广（12ZA098），四川省教育厅科研基金重点项目，2012/01-2013/12，4.5万元，已结题，主研（第四）。

奖励与荣誉

Resume

Xiaolan Liu, Faculty of College of Mathematics and Statistics, Sichuan University of Science and Engineering, Professor

Email: xiaolanliu@suse.edu.cn, stellalwp@163.com

Tel: +86 13882205686

Education Experience

(1)Sept. 2010-Jun. 2013 PhD  Basic Mathematics: Nonsmooth Analysis

Sichuan Normal University

(2)Sept.2004-Jun.2007 M.S Operational Research and Cybernetics: Variational

Inequalities, Sichuan Normal University

(3)Sept.2000-Jul. 2004 B. S  Mathematics and Applied Mathematics

Sichuan Normal University

Research and Academic Work Experience

(1)   Dec. 2020-presentCollege of Mathematics and Statistics, Sichuan University of Science and Engineering, Professor

(2)   Oct. 2015- Nov. 2020College of Mathematics and Statistics, Sichuan University of Science and Engineering,Associate Professor

(3)   Oct. 2009-Sept. 2015College of Mathematics and Statistics, Sichuan University of Science and Engineering,Lecturer

(4)   Sept. 2007-Jul. 2008College of Mathematics and Statistics, Sichuan University of Science and Engineering, Teaching Assistant

Scientific Research Projects

(1)   Study on fixed point of mappings in partially ordered metric space(No.14ZB0208), Scientific Research Fund of Sichuan Provincial Education Department

(2)   Analysis on the stability of neural network model about optimization problem analysis(No.114014), Natural Science Foundation of HaiNan Province

(3)   Theory, algorithms and applied research in several spaces(No.2017JY0125), Science Research Fund of Scienceand Technology Department of Sichuan Province

(4)   Proximal point theorem and algorithms in metric spaces(No.2020YGJC03), Zigong Scienceand Technology Program

(5)   Research on fixed point theory, algorithm and application in two kinds of spaces(No.2021ZYD0017), Central Government Funds of Guiding Local Scientificand Technological Development for Sichuan Province

Selected Journal papers

1、X.L. Liu*. Exceptional family of elements for generalized variational inequalities.Journal of Inequalities and Applications,2013,321:1-9.(SCI)

2、X. L. Liu*. Quadruple fixed point theorems in partially ordered metric spaces with mixed g-monotone property.Fixed Point Theory and Applications,2013,147:1-18. (SCI)

3、X. L. Liu*. Common fixed point theorem for six self mappings in Menger space.Journal of Mathematical Analysis and Applications,2013,404:351-361. (SCI)

4、X. L. Liu*. Common fixed points of ordered g-contractions in partially ordered metric spaces. Fixed Point Theory and Applications,2014,28: 1-19. (SCI)

5、X. L. Liu* and S. Ješic. Common fixed points of a generalized ordered g-quasicontraction in partially ordered metric spaces.Fixed Point Theory and Applications, 2013,53:1-19.(SCI)

6、X. L. Liu*,A. H. Ansari,SumitChandok，Choonkil Park. Some   new fixed point results in partial ordered metric spaces via admissible mappings and two new functions.Journal of Nonlinear Science and Applications,2016,9(4): 1564-1580.(SCI)

7、X. L. Liu*,M. Zhou. A one-layer recurrent neural network for non-smooth convex optimization subject to linear inequality constraints.Chaos, Solitons and Fractals: theInterdisciplinary Journal of Nonlinear Science,and Nonequilibrium and Complex Phenomena,2016,87: 39-46. (SCI)

8、X. L. Liu, M. Zhou*,Arslan Hojat Ansari,Nawab Hussain. Fixed point theorems for (ϕ −ψ) contractions in partially ordered metric-like spaces using newauxiliary functions. Filomat,2018,32(3):715-732. (SCI)

9、X. L. Liu*,M. Zhou,B.Damjanovi´c . Common coupled fixed pointtheorem for Geraghty-type contraction in partially ordered metric spaces. Journal of Function Spaces,2018,article ID 9063267,11 pages.(SCI)

10、X. L. Liu*,M. Zhou*,Lakshmi Narayan Mishra,Vishnu Narayan Mishra, and B. Damjanovic. Common fixed point theorem of six self-mappings in Menger spaces using （CLR_ST） property.Open Mathematics,2018,16: 1423-1434.(SCI)

11、M. Zhou,X. L. Liu*,D.Doli´canin-Deki´c,B.Damjanovi´c. Coupled coincidence point results for Geraghty-type contraction by using monotone property in partially ordered S-metric spaces. Journal of Nonlinear Science and Applications,2016,9(12): 5950-5969.(SCI)

12、M. Zhou,X. L. Liu*. On coupled common fixed point theorems for nonlinear contractions with the mixed weakly monotone property in partially ordered S-metric spaces. Journal of Function Spaces,2016,Ariticle ID 7529523,9 pages.(SCI)

13、M. Zhou,X. L. Liu*,B.Damjanovi´c,S.Radenovi´c´. -contractive type mappings in S-metric spaces.Journal of Nonlinear Science and Applications,2017,10(4):1613-1639.(SCI)

14、M. Zhou,X. L. Liu*,Y. J. Cho,B.Damjanovi´c .Ulam-Hyers stability,well-posedness and limit shadowing property of the fixed point problems for some contractive mappings in -metric spaces.Journal of Nonlinear Science and Applications,2017,10(5): 2296-2308. (SCI)

15、M. Zhou,X. L. Liu*,N. A.Secelean. On coincidence and common fixed point theorems of eight self maps satisfying an F_M-contraction condition. Nonlinear Analysis: Modelling and Control,2019,24(6):1-18.(SCI)

16、M. Zhou,X. L. Liu*. Fixed point theorems for generalized Kannan-type mappings in a new type of Fuzzy metric space. Journal of Mathematics,2020, Article ID 1712486,16 pages.(SCI)

17、M. Zhou,X. L. Liu*,A. H. Ansari,Mukesh Kumar Jain,Jia Deng. Common fixed point Theorems via Inverse C_k-class functions in metric spaces.Journal of Mathematics,2021,Article ID 6648993,25 pages.(SCI)

18、Y. Sun, X. L. Liu*,J. Deng, M. Zhou. Some fixed point results for -admissible extended Z-contraction mappings in extended rectangular b-metric spaces. AMIS Mathematics, 2021, 7(3): 3701-3718. (SCI)

19、M. Zhou, X. L. Liu*, N. Saleem, A.Fulga and N.Özgür. A newstudy on the fixed point sets of Proinov-type contractions via rational forms. Symmetry, 2022, 14(93): 1-31. (SCI)

20、J. Deng, X. L. Liu*, Y. Sun, M. Zhou. Fixed point results for a new rationalcontraction in doublecontrolled metric-like spaces. Mathematics, 2022, 10(9):1-12, article number 1439. (SCI)

21、Z. X. Zhu*,X. L. Liu,H. J. Wang and Z. G. Wang. Recovery of compressive samples from a randomly modulated coverter.International Journal of Electronics and Communications(AEü),2011, 65: 788-793.(SCI)

22、M. Zhou, N. Saleem, X. L. Liu* and N.Özgür. On two new contractions and discontinuity on fixed points. AMIS Mathematics, 2021, 7(2): 1628-1663.(SCI)

23、M. Zhou, N. Saleem, X. L. Liu*, A.Fulga and A. F. R. López de Hierro. A new approach to Proinov-type fixed-point results in non-Archimedean fuzzy metric spaces. Mathematics, 2021, 9(23):1-21, Article number 3001.(SCI)

24、M. Wang, N. Saleem, X. L. Liu*, A.H.Ansari, Mi Zhou. Fixed point of (α, β)-admissible generalized Geraghty F-contraction with application. Symmetry, 2022, accepted 2022.4.18(SCI)

25、J. Yang,W. P. Luo*,H. Chen,X. L. Liu. Dual delay-partitioning approach to stability analysis of generalized neural networks with interval time-varying delay.Neurocomputing,2016,214: 857-865.(SCI)