An Extended S-Iteration Scheme for G-Contractive Type Mappings in b-Metric Spaces with Graph

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Nilakshi Goswami
Nehjamang Haokip
Vishnu Narayan Mishra


In this paper, we introduce an extended S-iteration scheme for G-contractive type mappings and prove ∆-convergence as well as strong convergence in a nonempty closed and convex subset of a uniformly convex and complete b-metric space with a directed graph. We also give a numerical example in support of our result and compare the convergence rate between the studied iteration and the modified S-iteration.

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