Strong convergence theorem for totally quasi-ϕ-asymptotically nonexpansive multi-valued mappings under relaxed conditions

Author:

Qian Shanguang

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Reference23 articles.

1. Chang, S-s, Wang, L, Tang, Y-K, Zhao, Y-H, Ma, Z-L: Strong convergence theorems of nonlinear operator equations for countable family of multi-valued total quasi-ϕ-asymptotically nonexpansive mappings with applications. Fixed Point Theory Appl. 2012, Article ID 69 (2012). doi: 10.1186/1687-1812-2012-69

2. Chang, S-s, Joseph Lee, HW, Chan, CK, Zhang, WB: A modified Halpern-type iterative algorithm for totally quasi-ϕ-asymptotically nonexpansive mappings with applications. Appl. Math. Comput. 218, 6489-6497 (2012). doi: 10.1016/j.amc.2011.12.019

3. Matsushita, S, Takahashi, W: A strong convergence theorem for relatively nonexpansive mappings in Banach spaces. J. Approx. Theory 134, 257-266 (2005). doi: 10.1016/j.jat.2005.02.007

4. Plubtieng, S, Ungchittrakool, K: Hybrid iterative method for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces. Fixed Point Theory Appl. 2008, Article ID 583082 (2008). doi: 10.1155/2008/58308

5. Chang, S-s, Joseph Lee, HW, Chan, CK: A block hybrid method for solving generalized equilibrium problems and convex feasibility problem. Adv. Comput. Math. (2011). doi: 10.1007/s10444-011-9249-5

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