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Yisheng Song

City: XinXiang

State/Province: HeNan

Country: China

Current Affiliation: College of Mathematics and Information Science

Henan Normal University

Current Position: Master

Career Highlights: For more details, please visit my homepage: http://www.songys.cn or http://hk.songys.cn or http://songys.cn

Field of Research: MATHEMATICAL SCIENCES - Pure Mathematics - Operator Algebras and Functional Analysis

Research Interests: Fixed Point Theory; Methods of computing fixed points

Functional Analysis

Operator Theory

Convex Analysis

Publication History: My ResearcherID is: http://www.researcherid.com/rid/F-1979-2010

2011

1. Yisheng Song, Iterative solutions for zeros of multivalued accretive operators, Mathematische Nachrichten (Math. Nachr.) Vol. 284, Issue 2-3/2011, page 370-380.

2. Yisheng Song, Qingchun Li, Successive Approximations For Quasi-Firmly Type Nonexpansive Mappings, Mathematical Communications, 16(2011), 251-264.

3. Xinkuan Chai, Yisheng Song, New iteration algorithms for an asymptotically nonexpansive mapping, Journal of Applied Mathematics and Computing, Volume 35, Numbers 1-2, 2011,351-361.

2010

1.Yisheng Song, Jung Im Kang, and Yeol Je Cho, On iterations methods for zeros of accretive operators in Banach spaces, Applied Mathematics and Computation,216 (2010) 1007-1017

2.Yisheng Song, Xiao Liu, Iterative algorithms for a countable family of nonexpansive mappings, Journal of Concrete and Applicable Mathematics VOL. 8, NO. 4, 2010, 645-655.

3.Xinkuan Chai, Bo Li, and Yisheng Song，Strong and Weak Convergence of the Modified Proximal Point Algorithms in Hilbert Space, Fixed Point Theory and Applications，Volume 2010 (2010), Article ID 240450, 11 pages

4.Yisheng Song, Mann iteration of Ces\`{a}ro means for asymptotically non-expansive mappings, Nonlinear Analysis: Theory, Methods and Applications, Volume 72, Issue 1, 1 January 2010, Pages 176-182.

2009

1. Yisheng Song, ChangAn Tian, Modified Halpern iteration of asymptotically non-expansive mappings, Bulletin of the Iranian Mathematical Society, 2009, Volume 35, Issue 2, 229--254.

2. Yisheng Song, Strong convergence of viscosity approximation methods with strong pseudocontraction for Lipschitz pseudocontractive mappings, Positivity Volume 13, Number 4, 2009, 643-655.

3. Yisheng Song, Haiying Li, Strong Convergence of Iterative Sequences for Nonexpansive Mappings, Applied Mathematics Letters, Volume 22, Issue 10, October 2009, Pages 1500-1507.

4. Yisheng Song, Xinkuan Chai, Halpern iteration for firmly type nonexpansive mappings, Nonlinear Analysis: Theory, Methods and Applications Volume 71, Issue 10, 15 November 2009, Pages 4500-4506.

5. Yisheng Song and Yeol Je Cho, Iterative approximations for multivalued nonexpansive mappings in reflexive Banach spaces, Mathematical Inequalities & Applications, Volume 12, Number 3 (2009), 611–624.

6. Yisheng Song and Changsen Yang, Solving variational inequality with weak contraction using viscosity approximation methods, Acta Mathematica Scientia (Series A), 2009,29A(3):656–668

7. Yisheng Song, Xiao Liu, Convergence comparison of several iteration algorithms for the common fixed point problems, Fixed Point Theory and Applications, Volume 2009 (2009), Article ID 824374, 13 pages.

8. Yisheng Song, Iterative convergence to Cesaro means for continuous pseudocontractive mappings, Nonlinear Analysis: Theory, Methods and Applications Volume 71, Issues 7-8, 1 October 2009-15 October 2009, Pages 2792-2800

9. Yisheng Song and Yuchun Zheng, Strong convergence of iteration algorithms for a countable family of nonexpansive mappings, Nonlinear Analysis: Theory, Methods and Applications Volume 71, Issues 7-8, 1 October 2009-15 October 2009, Pages 3072-3082

10.Yisheng Song, Approximating curves for nonexpansive mappings and accretive operators, Applicable Analysis Volume 88, Issue 2 February 2009 , pages 215-229

11. Qingnian Zhang and Yisheng Song, Iterative construction for common fixed points of finitely many nonexpansive mappings, Nonlinear Analysis: Theory, Methods and Applications Volume 71, Issues 5-6, 1 September 2009-15 September 2009, Pages 1850-1856.

12. Yisheng Song, Equivalent theorems of the convergence between proximal-type algorithms, Nonlinear Analysis: Theory, Methods and Applications, Volume 71, Issues 1-2, 1 July 2009-15 July 2009, Pages 293-300.

13. Yisheng Song and Yeol Je Cho, Averaged iterates for non-expansive nonself-mappings in Banach spaces, Journal of Computational Analysis and Applications, 11(3)(2009), 451– 460.

14.Yisheng Song, An iterative process for a finite family of pseudocontractive mappings, Acta Mathematica Sinica, English Series, 25(2)(2009), 293–298.

15. Yeol Je Cho and Yisheng Song, Viscosity approximation for Solutions of Fixed Points and Variational Solutions for Pseudocontractions in Banach Spaces, Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis 16 (2009) 273-285.

16. Yisheng Song, New iterative algorithms for zeros of accretive operators, Journal of the Korean Mathematical Society, 46 (2009), No. 1, pp. 83-97.

17. Yisheng Song and Hongliang Zuo, Strong convergence theorems for finitely many non-expansive mappings , Nonlinear Analysis: Theory, Methods and Applications Volume 70, Issue 4, 15 February 2009, Pages 1797-1802.

18. Yisheng Song and Hongjun Wang, Convergence of iterative algorithms for multivalued mappings in Banach spaces, Nonlinear Analysis: Theory, Methods and Applications Volume 70, Issue 4, 15 February 2009, Pages 1547-1556.

19. Yisheng Song and Changsen Yang, A note on a Paper " A Regularization Method for the Proximal Point Algorithm", Journal of Global Optimization. Volume 43, Number 1, January 2009, 171-174.

20.Qingnian Zhang and Yisheng Song, Fixed point theory for generalized $\varphi-$weak contractions, Applied Mathematics Letters, Volume 22, Issue 1, January 2009, Pages 75-78.

2008

1. Yisheng Song, Coincidence points of weakly compatible mappings, Bulletin of the Korean Mathematical Society 45 (2008), No. 4, pp. 607–614.

2. Yisheng Song, Strong convergence of averaged iteration for asymptotically non-expansive mappings, Applied Mathematics and Computation, 204(2008) 854–861.

3. Yisheng Song and Rudong Chen, Weak and strong convergence of Mann's-type iterations for a countable family of nonexpansive mappings, Journal of the Korean Mathematical Society 45 (2008), No. 5, pp. 1393--1404

4. Yisheng Song, New Strong Convergence Theorems for Nonexpansive Nonself-Mappings without Boundary Conditions, Computers and Mathematics with Applications. 56 (2008), 1473-1478.

5. Yisheng Song and Rudong Chen, Strong convergence of an iterative method for non-expansive mappings, Mathematische Nachrichten (Math. Nachr.) 281, No. 8, 1196--1204 (2008)

6. Yisheng Song and Hongjun Wang, Erratum to "Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces [Computers and Mathematics with Applications, 54(2007) 872-877]", Computers and Mathematics with Applications. Volume 55, Issue 12, June 2008, Pages 2999-3002.

7. Yu Miao and Yisheng Song, Weak and strong convergence of a new scheme for two nonexpansive mappings, Applicable Analysis, Vol. 87, No. 5,May 2008, 567--574.

8. Yisheng Song and Xinkuan Chai, Strong convergence theorems of viscosity approximation methods for generalized Lipschitz pseudocontractiive mappings, Acta Mathematica Sinica, Chinese Series 2008, No. 51(3), 501-508.

9. Yisheng Song, A new sufficient condition for the strong convergence of Halpern type iterations, Applied Mathematics and Computation Volume 198, Issue 2, 1 May 2008, Pages 721-728.

10. Yisheng Song, A note on a Paper "A new iteration process for generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappings", Nonlinear Analysis: Theory, Methods and Applications Vol 68/10, 2008, pp 3047-3049.

11. Yisheng Song and Sumei Xu, Strong convergence theorems for nonexpansive semigroup in Banach spaces, Journal of Mathematical Analysis and Application, 2008, Vol 338/1 pp. 152-161.

2007

1. Yisheng Song, Iterative approximation to common fixed points of a countable family of nonexpansive mappings, Applicable Analysis Vol. 86, No. 11, November 2007, 1329-1337.

2. Yisheng Song, Iterative selection methods for the common fixed point problems in a Banach space, Applied Mathematics and Computation,Vol 193/1, 2007, pp 7-17.

3. Yisheng Song, Coincidence Points for Noncommuting f-Weakly Contractive Mappings, International Journal of Computational and Applied Mathematics (IJCAM), Volume 2 Number 1 (2007), pp. 51-57.

4. Yisheng Song, On a Mann type implicit iteration process for continuous pseudo-contractive mappings, Nonlinear Analysis: Theory, Methods and Applications, 67 (2007) 3058-3063.

5. Yisheng Song and Sumei Xu, A Note on Common Fixed-Points for Banach Operator Pairs, International Journal of Contemporary Mathematical Sciences Vol. 2, 2007, no. 24, 1163 - 1166.

6. Yisheng Song, Common fixed points and invariant approximations for generalized(f, g)-nonexpansive mappings, Communications in Mathematical Analysis 2(2007), No.2, 17-26.

7. Yisheng Song, Strong convergence of an iterative methods for continuous pseudocontractive mapping, JP Journal of Fixed Point Theory and Applications 2(1)(2007) 1-9.

8. Yisheng Song and Rudong Chen, Convergence theorems of iterative algorithms for continuous pseudocontractive mappings, Nonlinear Analysis: Theory, Methods and Applications, Volume 67, Issue 2, 15 July 2007, Pages 486-497.

9. Yisheng Song and Rudong Chen, Viscosity approximative methods to Cesaro means for non-expansive mappings, Applied Mathematics and Computation 186 (2007) 1120-1128.

10. Shengju Yang and Yisheng Song, Iterative Approximation to Common Fixed Points of Two Nonexpansive Mappings in Banach Spaces, Applied Mathematical Sciences, Vol. 1, 2007, no. 3, 97 -108.

11. Yisheng Song and Rudong Chen, Iterative approximation to common fixed points of nonexpansive mapping sequences in reflexive Banach spaces, Nonlinear Analysis: Theory, Methods and Applications, 66 (2007) 591-603.

12. Yisheng Song, Rudong Chen and Haiyun Zhou, Viscosity approximation methods for nonexpansive mapping sequences in Banach spaces, Nonlinear Analysis: Theory, Methods and Applications,66 (2007) 1016-1024.

13. Yisheng Song and Qingchun Li, Viscosity approximation for nonexpansive nonself-mappings in reflexive Banach spaces, J. of Systems Science and Mathematical Science 27(4) (2007, 8), 481-487.

14. Yanrong Yu and Yisheng Song, Iterative approximation of fixed points for asymptotically nonexpansive mappings in uniformly convex Banach spaces，Mathematics in Practice and Theory，Vol.37, 2007, No. 19, 144-149.

2006

1. Yisheng Song and Rudong Chen, Viscosity approximation methods for nonexpansive nonself-mappings, J. Math. Anal. Appl., 321（2006）316-326.

2. Yisheng Song and Rudong Chen, Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings, Applied Mathematics and Computation, 180 (2006) 275-287.

3. Yisheng Song and Rudong Chen, An approximation method for continuous pseudocontractive mappings, J. of Inequal. and Appl. volume 2006, Article ID 28950, 1-9.

4. Rudong Chen, Yisheng Song and Haiyun Zhou, Convergence Theorems for Implicit Iteration Process for a Finite Family of Continuous Pseudocontractive Mappings, J. Math. Anal. Appl. 314(2006),701-709.

5. Yanrong Yu, Yisheng Song and Rudong Chen, An implicit iteration process for a finite family of strictly pseudocontractive mappings of Browder-Petryshyn type, JP Journal of Fixed Point Theory and Applications, 1(2006),27-41.

6. Rudong Chen and Yisheng Song, VISCOSITY APPROXIMATION METHODS FOR STRICTLY PSEUDOCONTRACTIVE MAPPINGS OF BROWDER-PETRYSHYN TYPE,J. Sys. Sci. & Math. Scis. 26(6) (2006, 12), 651-657.

7. Ru Dong CHEN, Yi Sheng SONG and Haiyun Zhou, Viscosity Approximation Methods for Continuous Pseudocontractive Mappings, ACTA MATHEMATICA SINICA, Chinese Series, Vol.49, No.6, 2006,1275-1278.

8. Rudong Chen, Peikee Lin and Yisheng Song， An approximation method for strictly pseudocontractive mappings, Nonlinear Analysis: Theory, Methods and Applications，64(2006), 2527-2535.