Strong and \(\Delta\)-Convergence Results for Generalized Nonexpansive Mapping in Hyperbolic Space

Samir Dashputre, C. Padmavati, Kavita Sakure


In this paper, we propose a new iteration process which is faster than Picard Normal S-iteration process, Normal S-iteration process, Mann iteration process and Picard iteration process in hyperbolic space for generalized nonexpansive mapping. We also present strong and \(\Delta\)-convergence results for proposed iteration process. An illustrative example with different set of parameters is also given in this paper.


Hyperbolic space; Generalized nonexpansive mappings; Picard normal S-iteration process; Normal S-iteration process

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