Strong Convergence Theorems for Hybrid Mixed Type Nonlinear Mappings in Banach Spaces
References
- [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] 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] 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] 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] 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] 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] 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] 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] 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] S. H. Khan and W. Takahashi, Approximating common fixed points of two asymptotically nonexpansive mappings, Sci. Math. Jpn., 53(1), (2001), 143–148
- [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] B. E. Rhoades, Fixed point iteration for certain nonlinear mappings, J. Math. Anal. Appl., 183, (1994), 118–12010.1006/jmaa.1994.1135
- [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] 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] 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] S. Wei and W. P. Guo, Strong convergence theorems for mixed type asymptotically nonexpansive mappings, Comm. Math. Res., 31, (2015), 149–160
Language: English
Page range: 136 - 148
Submitted on: Oct 31, 2016
Accepted on: Jan 25, 2018
Published on: Dec 7, 2018
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
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© 2018 Gurucharan Singh Saluja, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.