Abstract
In this paper, we prove some fixed point results for a pair of relatively nonexpansive mappings using Thakur iteration in uniformly convex W-hyperbolic spaces. Our results extend some of the existing results in the literature. We illustrate the results with an example. Also, we compare the convergence of two different types of Thakur iterations for a pair of relatively nonexpansive mappings and establish that one converges faster than the other. We also establish the existence of a best proximity pair using the main theorem.
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The authors are indebted to the anonymous referees for their perspicacious comments and suggestions.
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Valappil, S.V., Pulickakunnel, S. Some fixed point results for pair of relatively non-expansive mappings in W-hyperbolic spaces using Thakur iteration. Rend. Circ. Mat. Palermo, II. Ser (2024). https://doi.org/10.1007/s12215-024-01017-3
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DOI: https://doi.org/10.1007/s12215-024-01017-3