1
Department of Mathematics, University of Uyo, Uyo, Nigeria
2
Department of Mathematics, Michael Okpara University of Agriculture, University of Agriculture, Umidke, Nigeria
Abstract
In this paper, a three-step implicit iteration process with errors is introduced and we prove strong convergence theorem of the new iterative scheme with some mild conditions on the real sequences to a common fixed point of finite family of asymptotically φ-demicontractive mappings defined on a closed convex subset of a Banach space. The new iterative scheme includes several well known explicit and implicit iterative schemes. The results in this paper generalize several strong convergence results in the literature.
Ofem, A., & Igbokwe, D. (2020). A large averaging modified implicit iterative scheme with errors for finite family of asymtotically φ-demicontractive mappings. Communications in Nonlinear Analysis, 8(2), 9-27.
MLA
Austine E. Ofem; Donatus Igbokwe. "A large averaging modified implicit iterative scheme with errors for finite family of asymtotically φ-demicontractive mappings". Communications in Nonlinear Analysis, 8, 2, 2020, 9-27.
HARVARD
Ofem, A., Igbokwe, D. (2020). 'A large averaging modified implicit iterative scheme with errors for finite family of asymtotically φ-demicontractive mappings', Communications in Nonlinear Analysis, 8(2), pp. 9-27.
VANCOUVER
Ofem, A., Igbokwe, D. A large averaging modified implicit iterative scheme with errors for finite family of asymtotically φ-demicontractive mappings. Communications in Nonlinear Analysis, 2020; 8(2): 9-27.
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