Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682211120200401Strong convergence results for fixed points of nearly weak uniformly L-Lipschitzian mappings of I-Dominated mappings4754421010.22075/ijnaa.2020.4210ENAdesanmiMogbademuResearch Group in Mathematics and Applications, Department of Mathematics, University of Lagos, Lagos, Nigeria0000-0002-9978-2043Jong KyuKimDepartment of Mathematics Educations, Kyungam University, Masan, Kyungnam, Republic of Korea, KoreaJournal Article20171223In this paper, we prove strong convergence results for a modified Mann iterative process for a new class of I- nearly weak uniformly L-Lipschitzian mappings in a real Banach space. The class of I-nearly weak uniformly L-Lipschitzian mappings is an interesting generalization of the class of nearly weak uniformly L-Lipschitzian mappings which inturn is a generalization of the class of nearly uniformly L-Lipschitzian mappings which inturn generalises uniformly L-Lipschitzian mappings. Our theorems include some very recent results in fixed point theory and applications, in the context of nearly uniformly L-Lipschitzian mappings.https://ijnaa.semnan.ac.ir/article_4210_6cf0c64c306387f873c2903e094d2bb5.pdf