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

Authors

  • Samir Dashputre Department of Mathematics, Government College, Arjunda, Balod, Chhattisgarh
  • C. Padmavati Department of Mathematics, Government V.Y.T. Autonomous P.G. College, Durg, Chhattisgarh
  • Kavita Sakure Department of Mathematics, Government Digvijay Autonomous P.G. College, Rajnandgaon, Chhattisgarh

DOI:

https://doi.org/10.26713/cma.v11i3.1357

Keywords:

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

Abstract

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.

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References

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Published

30-09-2020
CITATION

How to Cite

Dashputre, S., Padmavati, C., & Sakure, K. (2020). Strong and \(\Delta\)-Convergence Results for Generalized Nonexpansive Mapping in Hyperbolic Space. Communications in Mathematics and Applications, 11(3), 389–401. https://doi.org/10.26713/cma.v11i3.1357

Issue

Vol. 11 No. 3 (2020)

Section

Research Article

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