In: Mathematica Slovaca, vol. 64, no. 1
Y. K. Tang - S. S. Chang - L. Wang - Y. H. Zhao - Chi Kin Chan
Detaily:
Rok, strany: 2014, 175 - 186
Kľúčové slová:
quasi-φ-symptotically nonexpansive mapping, quasi-φ-nonexpansive mapping, weak relatively nonexpansive mapping, relatively nonexpansive mapping, generalized projection
O článku:
The purpose of this article is to modify the Halpern-type iteration algorithm for quasi-$φ$-asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in the paper improve and extend the corresponding results of Qin et al. [Convergence of a modified Halpern-type iterative algorithm for quasi-$φ$-nonexpansive mappings, Appl. Math. Lett. 22 (2009), 1051–1055], Wang et al. [A modified Halpern-type iteration algorithm for a family of hemi-relative nonexpansive mappings and systems of equilibrium problems in Banach spaces, J. Comput. Appl. Math. 235 (2011), 2364–2371], Su et al. [Strong convergence theorems for two countable families of weak relatively nonexpansive mappings and applications, Nonlinear Anal. 73 (2010), 3890–3906], Nartinez-Yanes et al. [Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anal. 64 (2006), 2400–2411], and others.
Ako citovať:
ISO 690:
Tang, Y., Chang, S., Wang, L., Zhao, Y., Chan, C. 2014. A modified Halpern-type iteration algorithm for quasi-$φ$-asymptotically nonexpansive mappings and applications. In Mathematica Slovaca, vol. 64, no.1, pp. 175-186. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0194-2
APA:
Tang, Y., Chang, S., Wang, L., Zhao, Y., Chan, C. (2014). A modified Halpern-type iteration algorithm for quasi-$φ$-asymptotically nonexpansive mappings and applications. Mathematica Slovaca, 64(1), 175-186. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0194-2
O vydaní: