@article { author = {Udofia, Unwana and Igbokwe, Donatus}, title = {Convergence Theorems for Monotone Generalized α-Nonexpansive Mappings in Ordered Banach Space by a New Four-Step Iteration Process with Application}, journal = {Communications in Nonlinear Analysis}, volume = {11}, number = {1}, pages = {1-18}, year = {2023}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, abstract = {We introduce a new four-step iterative algorithm and show that the new algorithm converges faster than a number of existing iterative algorithms for contraction mappings. We prove strong and weak convergence results for approximating fixed points of monotone generalized α-nonexpansive mappings. Further, we utilize our proposed algorithm to solve Split FeasibilityProblem (SFP). Our result complements, extends and generalizes some existing results in literature.}, keywords = {monotone,generalized α-Nonexpansive mapping,Ordered Banach space,fixed point,contraction mapping,Split Feasibility Problem}, url = {https://www.cna-journal.com/article_138222.html}, eprint = {https://www.cna-journal.com/article_138222_1738741236af6d9a5f4d9e1635ca3260.pdf} }