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Article

Approximation of the Fixed Point for Unified Three-Step Iterative Algorithm with Convergence Analysis in Busemann Spaces

1
Department of Mathematics, College of Sciences, Jazan Univesity, Jazan 45142, Saudi Arabia
2
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
3
Department of Mathematics, Pt. J.L.N. Govt. College, Faridabad 121002, India
*
Author to whom correspondence should be addressed.
Received: 12 January 2021 / Revised: 23 February 2021 / Accepted: 23 February 2021 / Published: 27 February 2021
(This article belongs to the Special Issue Theory and Application of Fixed Point)
In this manuscript, a new three-step iterative scheme to approximate fixed points in the setting of Busemann spaces is introduced. The proposed algorithms unify and extend most of the existing iterative schemes. Thereafter, by making consequent use of this method, strong and Δ-convergence results of mappings that satisfy the condition (Eμ) in the framework of uniformly convex Busemann space are obtained. Our results generalize several existing results in the same direction. View Full-Text
Keywords: the condition (ℰμ); standard three-step iteration algorithm; fixed point; uniformly convex Busemann space the condition (ℰμ); standard three-step iteration algorithm; fixed point; uniformly convex Busemann space
MDPI and ACS Style

Almusawa, H.; Hammad, H.A.; Sharma, N. Approximation of the Fixed Point for Unified Three-Step Iterative Algorithm with Convergence Analysis in Busemann Spaces. Axioms 2021, 10, 26. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010026

AMA Style

Almusawa H, Hammad HA, Sharma N. Approximation of the Fixed Point for Unified Three-Step Iterative Algorithm with Convergence Analysis in Busemann Spaces. Axioms. 2021; 10(1):26. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010026

Chicago/Turabian Style

Almusawa, Hassan, Hasanen A. Hammad, and Nisha Sharma. 2021. "Approximation of the Fixed Point for Unified Three-Step Iterative Algorithm with Convergence Analysis in Busemann Spaces" Axioms 10, no. 1: 26. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010026

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