On approximation of fixed point in Busemann space via generalized Picard normal $s$-iteration process

Samir Dashputre; Padmavati; Kavita Sakure

doi:10.26637/MJM0803/0056

Abstract

This paper deals with strong as well as $\Delta$-convergence results for SKC map in Busemann space via generalized Picard normal $s$-iteration process. We design an example for the Suzuki-Karapinar conditioned mapping in this paper. Also we discuss generalized Picard normal $s$-iteration process is faster than some famous iteration processes. An numerical example is presented in this paper to support our result.

Keywords:

Busemann Space, strong convergence, SKC map, iteration method, $\Delta$-convergence

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Samir Dashputre Department of Mathematics, Government College, Arjunda, Balod- 491225, Chhattisgarh, India.
Padmavati Department of Mathematics, Government V.Y.T. Auto. P.G. College, Durg-491001, Chhattisgarh, India.
Kavita Sakure Department of Mathematics, Government Digvijay Auto. P.G. College, Rajnandgaon-491441, Chhattisgarh, India. https://orcid.org/0000-0002-6312-2924

Pages: 1055-1062
Date Published: 01-07-2020
Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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