1
Department of Mathematics, Statistics and Computer, Faculty of Science, Ubon Ratchathani University, Ubon Ratchathani 34190, Thailand
2
Department of Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand
Abstract
We prove a strong convergence result for a sequence generated by Halpern's type iteration for approximating a common fixed point of a countable family of quasi-Lipschitzian mappings in a real Hilbert space. Consequently, we apply our results to the problem of finding a common fixed point of asymptotically nonexpansive mappings, an equilibrium problem, and a variational inequality problem for continuous monotone mappings.
Nilsrakoo, W., & Saejung, S. (2012). Iterative methods for finding nearest common fixed points of a countable family of quasi-Lipschitzian mappings. Bulletin of the Iranian Mathematical Society, 38(4), 1047-1061.
MLA
Nilsrakoo, W., & Saejung, S. "Iterative methods for finding nearest common fixed points of a countable family of quasi-Lipschitzian mappings", Bulletin of the Iranian Mathematical Society, 38, 4, 2012, 1047-1061.
HARVARD
Nilsrakoo W., Saejung S. (2012). 'Iterative methods for finding nearest common fixed points of a countable family of quasi-Lipschitzian mappings', Bulletin of the Iranian Mathematical Society, 38(4), pp. 1047-1061.
CHICAGO
W. Nilsrakoo & S. Saejung, "Iterative methods for finding nearest common fixed points of a countable family of quasi-Lipschitzian mappings," Bulletin of the Iranian Mathematical Society, 38 4 (2012): 1047-1061,
VANCOUVER
Nilsrakoo W., Saejung S. Iterative methods for finding nearest common fixed points of a countable family of quasi-Lipschitzian mappings. BIMS. 2012;38(4):1047-1061.
