@article { author = {Ofem, Austine and Igbokwe, Donatus}, title = {A large averaging modified implicit iterative scheme with errors for finite family of asymtotically φ-demicontractive mappings}, journal = {Communications in Nonlinear Analysis}, volume = {8}, number = {2}, pages = {9-27}, year = {2020}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, 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.}, keywords = {fixed point,Banach space,Implicit iteration process,asymptotically φ-demicontractive mappings. 2010 AMS Subject Classifi cation: 47H09}, url = {https://www.cna-journal.com/article_109481.html}, eprint = {https://www.cna-journal.com/article_109481_4d73219c2087fb2cdad0ec0870ae9876.pdf} }