Strong Convergence of a Multi-Step Implicit Iterative Scheme With Errors for Common Fixed Points of Uniformly L-Lipschitzian Total Asymptotically Strict Pseudocontractive Mappings

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.

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