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Convergence Analysis for the SM-Iteration in Banach Spaces
  
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KeyWord:Suzuki mapping, Opial's condition, SM-iteration
Author NameAffiliation
Monika Swami Department of Mathematics, Atmiya University, Rajkot-360 005, Gujarat, India 
M. R. Jadeja Department of AI, ML and DS, Marwadi University, Rajkot-360 003, Gujarat, India 
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Abstract:
      In this article, the fixed point of the SM iterative approach is approximated via Suzuki mapping. In the context of Banach spaces, we provide both weak and strong convergence for the SM iteration. Then, by comparing it with certain well-known iterations, we give some numerical examples to show the effectiveness of SM iteration for the Suzuki-type mapping.