Lixin Cheng

743 total citations
59 papers, 437 citations indexed

About

Lixin Cheng is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Lixin Cheng has authored 59 papers receiving a total of 437 indexed citations (citations by other indexed papers that have themselves been cited), including 45 papers in Mathematical Physics, 34 papers in Applied Mathematics and 29 papers in Computational Theory and Mathematics. Recurrent topics in Lixin Cheng's work include Advanced Banach Space Theory (45 papers), Optimization and Variational Analysis (26 papers) and Functional Equations Stability Results (17 papers). Lixin Cheng is often cited by papers focused on Advanced Banach Space Theory (45 papers), Optimization and Variational Analysis (26 papers) and Functional Equations Stability Results (17 papers). Lixin Cheng collaborates with scholars based in China, United States and Czechia. Lixin Cheng's co-authors include Wen Zhang, Hui Liu, Xiaoyan Liu, E.S. Lee, Marián Fabian, Bo Wang, Sijie Luo, Zheng-Hua Luo, Vladimir Kadets and Minghu Ha and has published in prestigious journals such as Fuzzy Sets and Systems, Journal of Mathematical Analysis and Applications and Computers & Mathematics with Applications.

In The Last Decade

Lixin Cheng

50 papers receiving 415 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Lixin Cheng China	11	355	279	122	111	79	59	437
Stanimir Troyanski Spain	13	478 1.3×	273 1.0×	266 2.2×	200 1.8×	137 1.7×	58	629
R. W. Cross South Africa	10	231 0.7×	230 0.8×	181 1.5×	73 0.7×	50 0.6×	28	369
Peter Meyer-Nieberg Germany	6	546 1.5×	437 1.6×	98 0.8×	83 0.7×	326 4.1×	19	635
Charles Stegall Austria	16	648 1.8×	394 1.4×	166 1.4×	240 2.2×	195 2.5×	30	751
Jesús M. F. Castillo Spain	15	623 1.8×	449 1.6×	65 0.5×	164 1.5×	207 2.6×	96	678
B. Cascales Spain	16	533 1.5×	279 1.0×	165 1.4×	301 2.7×	169 2.1×	47	616
Klaus Floret Germany	11	430 1.2×	299 1.1×	101 0.8×	147 1.3×	138 1.7×	36	519
A. Bonilla Spain	15	423 1.2×	535 1.9×	42 0.3×	180 1.6×	29 0.4×	50	665
Jacek Chmieliński Poland	12	125 0.4×	168 0.6×	85 0.7×	56 0.5×	42 0.5×	34	265
Bor-Luh Lin United States	12	361 1.0×	267 1.0×	206 1.7×	133 1.2×	145 1.8×	64	500

Countries citing papers authored by Lixin Cheng

Since Specialization

Citations

This map shows the geographic impact of Lixin Cheng's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Lixin Cheng with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Lixin Cheng more than expected).

Fields of papers citing papers by Lixin Cheng

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Lixin Cheng. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Lixin Cheng. The network helps show where Lixin Cheng may publish in the future.

Co-authorship network of co-authors of Lixin Cheng

This figure shows the co-authorship network connecting the top 25 collaborators of Lixin Cheng. A scholar is included among the top collaborators of Lixin Cheng based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Lixin Cheng. Lixin Cheng is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Cheng, Lixin, et al.. (2024). On localization of Reich's strong convergence fixed point theorem. Journal of Mathematical Analysis and Applications. 545(1). 129143–129143.

Yang, Zhanwen, et al.. (2024). On the stability preserving of L1 scheme to nonlinear time-fractional Schrödinger delay equations. Mathematics and Computers in Simulation. 231. 209–220. 2 indexed citations

Cheng, Lixin & Wen Zhang. (2023). On a Cauchy Problem in Banach Spaces. Results in Mathematics. 78(5).

Cheng, Lixin, et al.. (2020). A note on the stability of nonsurjective 𝜖-isometries of Banach spaces. Proceedings of the American Mathematical Society. 148(11). 4837–4844. 10 indexed citations

Cheng, Lixin. (2015). Generalization of Strongly Von Neumann Local Ring.

Cheng, Lixin, et al.. (2015). On super fixed point property and super weak compactness of convex subsets in Banach spaces. Journal of Mathematical Analysis and Applications. 428(2). 1209–1224. 8 indexed citations

Cheng, Lixin, et al.. (2015). A universal theorem for stability of ε-isometries of Banach spaces. Journal of Functional Analysis. 269(1). 199–214. 27 indexed citations

Cheng, Lixin, et al.. (2014). On perturbed metric-preserved mappings and their stability characterizations. Journal of Functional Analysis. 266(8). 4995–5015. 20 indexed citations

Cheng, Lixin, et al.. (2012). On stability of nonlinear non-surjective ε-isometries of Banach spaces. Journal of Functional Analysis. 264(3). 713–734. 35 indexed citations

10.

Cheng, Lixin, et al.. (2012). Analytic characterizations of Mazurʼs intersection property via convex functions. Journal of Functional Analysis. 262(11). 4731–4745. 3 indexed citations

11.

Cheng, Lixin, et al.. (2010). A note on ball-covering property of Banach spaces. Journal of Mathematical Analysis and Applications. 371(1). 249–253. 6 indexed citations

12.

Cheng, Lixin, et al.. (2010). A functional characterization of measures and the Banach–Ulam problem. Journal of Mathematical Analysis and Applications. 374(2). 558–565. 3 indexed citations

13.

Cheng, Lixin, et al.. (2010). Some geometric and topological properties of Banach spaces via ball coverings. Journal of Mathematical Analysis and Applications. 377(2). 874–880. 5 indexed citations

14.

Cheng, Lixin, et al.. (2009). On real-valued measures of statistical type and their applications to statistical convergence. Mathematical and Computer Modelling. 50(1-2). 116–122. 7 indexed citations

15.

Cheng, Lixin, et al.. (2007). Ball-covering property of Banach spaces that is not preserved under linear isomorphisms. Science in China Series A Mathematics. 51(1). 143–147. 14 indexed citations

16.

Cheng, Lixin. (2001). On the p-Asplund Space of a Banach Space. 3(2). 120–128. 2 indexed citations

17.

Cheng, Lixin & Marián Fabian. (2001). The product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space. Proceedings of the American Mathematical Society. 129(12). 3539–3541. 6 indexed citations

18.

Cheng, Lixin. (1999). Differentiability Property and Perturbed Optimization or Variational Principle in Locally Convex Spaces.

19.

Cheng, Lixin, et al.. (1997). Generic Fréchet Differentiability of Convex Functions on Non-Asplund Spaces. Journal of Mathematical Analysis and Applications. 214(2). 367–377. 9 indexed citations

20.

Cheng, Lixin, et al.. (1994). Extensions of the Preiss Differentiability Theorem. Journal of Functional Analysis. 124(1). 112–118. 5 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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