Have a personal or library account? Click to login
Strong Convergence Theorems for Hybrid Mixed Type Nonlinear Mappings in Banach Spaces Cover

Strong Convergence Theorems for Hybrid Mixed Type Nonlinear Mappings in Banach Spaces

Open Access
|Dec 2018

References

  1. [1] E. U. Ofoedu and H. Zegeye C. E. Chidume, Strong and weak convergence theorems for asymptotically nonexpansive mappings, J. Math. Anal. Appl., 280, (2003), 364–37410.1016/S0022-247X(03)00061-1
  2. [2] N. Shahzad and H. Zegeye C. E. Chidume, Convergence theorems for mappings which are asymptotically nonexpansive in the intermediate sense, Numerical Functional and Optimization, 25(3-4), (2004), 239–25710.1081/NFA-120039611
  3. [3] K. Goebel and W. A. Kirk, A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc., 35(1), (1972), 171–17410.1090/S0002-9939-1972-0298500-3
  4. [4] S. H. Khan and S. Akbulut B. Gunduz, On convergence of an implicit iterative algorithm for non-self asymptotically nonexpansive mappings, Hacettepe J. Math. Stats., 43(3), (2014), 399–411
  5. [5] B. Gunduz and S. Akbulut, On weak and strong convergence theorems for a finite family of non-self I-asymptotically nonexpansive mappings, Math. Moravica, 19(2), (2015), 49–6410.5937/MatMor1502049G
  6. [6] B. Gunduz, A new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces, J. Nonlinear Sci. Appl., 9, (2016), 1365–137210.22436/jnsa.009.03.60
  7. [7] B. Gunduz, Fixed points of a finite family of I-asymptotically quasi-nonexpansive mappings in a convex metric space, Filomat, 31(7), (2017), 2175–218210.2298/FIL1707175G
  8. [8] B. Gunduz and S. Akbulut, Common fixed points of a finite family of I-asymptotically nonexpansive mappings by S-iteration process in Banach spaces, Thai
  9. [9] Y. J. Cho and W. Guo W. P. Guo, Convergence theorems for mixed type asymptotically nonexpansive mappings, Fixed Point Theory and Appl., 2012:224, (2012)10.1186/1687-1812-2012-224
  10. [10] S. H. Khan and W. Takahashi, Approximating common fixed points of two asymptotically nonexpansive mappings, Sci. Math. Jpn., 53(1), (2001), 143–148
  11. [11] M. O. Osilike and S. C. Aniagbosor, Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings, Math. Comput. Modelling, 32, (2000), 1181–119110.1016/S0895-7177(00)00199-0
  12. [12] B. E. Rhoades, Fixed point iteration for certain nonlinear mappings, J. Math. Anal. Appl., 183, (1994), 118–12010.1006/jmaa.1994.1135
  13. [13] J. Schu, Weak and strong convergence to fixed points of asymptotically nonexpansive mappings, Bull. Austral. Math. Soc., 43(1), (1991), 153–15910.1017/S0004972700028884
  14. [14] K. K. Tan and H. K. Xu, Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. Anal. Appl., 178, (1993), 301–30810.1006/jmaa.1993.1309
  15. [15] L. Wang, Strong and weak convergence theorems for common fixed point of nonself asymptotically nonexpansive mappings, J. Mth. Anal. Appl., 323(1), (2006), 550–55710.1016/j.jmaa.2005.10.062
  16. [16] S. Wei and W. P. Guo, Strong convergence theorems for mixed type asymptotically nonexpansive mappings, Comm. Math. Res., 31, (2015), 149–160
DOI: https://doi.org/10.2478/awutm-2018-0009 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 136 - 148
Submitted on: Oct 31, 2016
|
Accepted on: Jan 25, 2018
|
Published on: Dec 7, 2018
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2018 Gurucharan Singh Saluja, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.