Convergence theorems of a modified iteration process for generalized nonexpansive mappings in hyperbolic spaces. (English) Zbl 07411157
Summary: In this paper, we introduce a modified Picard-Mann hybrid iterative process for a finite family of mappings in the framework of hyperbolic spaces. Furthermore, we establish \(\varDelta\)-convergence and strong convergence results for a sequence generated by a modified Picard-Mann hybrid iterative process involving mappings satisfying the condition \((E)\) in the setting of hyperbolic spaces which more general than one mapping in the setting of CAT(0) spaces in Ritika and Khan [19]. Our results are the extension and improvement of the results in Ritika and Khan [19]. Moreover, in the numerical example we also illustrate an example for supporting our main result.
Keywords:
\(\varDelta\)-convergence theorems; strong convergence theorems; the condition \((E)\); hyperbolic spacesReferences:
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