刘小兰
基本情况


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

2007/06-2009/09四川理工学院，助教
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 Applications2014, 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 Sini?a Je?ic. 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 **, 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 shadowingproperty 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 (? ? 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 **, 11 pages. doi:10.1155/2018/**.

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 inS-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

1、刘小兰，偏序度量空间中具有混合g-单调性质的四维不动点定理的研究， (1/1)。自贡市第六届自然科学优秀学术论文奖一等奖，自贡市人民政府，自然科学，市厅级，2016。



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