- Results in Nonlinear Analysis
- Vol: 3 Issue: 3
- Strong Convergence of a Multi-Step Implicit Iterative Scheme With Errors for Common Fixed Points of ...
Strong Convergence of a Multi-Step Implicit Iterative Scheme With Errors for Common Fixed Points of Uniformly L-Lipschitzian Total Asymptotically Strict Pseudocontractive Mappings
Authors : Austine Ofem
Pages : 100-116
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Publication Date : 2020-09-30
Article Type : Research
Abstract :In this paper, we introduce a three-step implicit iteration process with errors and prove a strong convergence theorem of the new iterative scheme for a finite family of uniformly L-Lipschitzian total asymptotically strict pseudo contractive mappings in Banach spaces. The results in the paper extend, generalize, and unify well-known results in the existing literature. In this paper, we compare a three-step implicit iteration process with the existing results in the literature.Keywords : Fixed point, Banach space, Lipschitzian, , total asymptotically strict pseudocontractive mapping, implicit iteration scheme, strong convergence.