APPROXIMATING FIXED POINTS OF NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES

Arfah Arfah

APPROXIMATING FIXED POINTS OF NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES

Abstract

This paper investigates the convergence of an iterative process to a fixed point of nonexpansive mappings in uniformly convex hyperbolic spaces. First, we analyze the iteration scheme introduced by Karakaya et al. for such mappings, establishing its key properties. Under specific conditions, we prove both $\Delta-$convergence and strong convergence of the iteration to a fixed point. Additionally, we show that, if the iteration $\Delta-$converges or strongly converges to a fixed point, then every subsequence exhibits the same behavior. These results extend the theory of iterative methods to uniformly convex hyperbolic spaces, broadening their applicability in nonlinear functional analysis.

Keywords

References

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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Arfah Arfah ^*
0000-0002-7654-5520
Indonesia

Publication Date

March 17, 2026

Submission Date

November 9, 2024

Acceptance Date

August 30, 2025

Published in Issue

Year 2026 Volume: 16 Number: 3

IZ

https://izlik.org/JA24XF42DM

Cite

RIS / Bibtex

APA

Arfah, A. (2026). APPROXIMATING FIXED POINTS OF NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES. TWMS Journal of Applied and Engineering Mathematics, 16(3), 305-318. https://izlik.org/JA24XF42DM

AMA

1.Arfah A. APPROXIMATING FIXED POINTS OF NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES. JAEM. 2026;16(3):305-318. https://izlik.org/JA24XF42DM

Chicago

Arfah, Arfah. 2026. “APPROXIMATING FIXED POINTS OF NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES”. TWMS Journal of Applied and Engineering Mathematics 16 (3): 305-18. https://izlik.org/JA24XF42DM.

EndNote

Arfah A (March 1, 2026) APPROXIMATING FIXED POINTS OF NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES. TWMS Journal of Applied and Engineering Mathematics 16 3 305–318.

IEEE

[1]A. Arfah, “APPROXIMATING FIXED POINTS OF NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES”, JAEM, vol. 16, no. 3, pp. 305–318, Mar. 2026, [Online]. Available: https://izlik.org/JA24XF42DM

ISNAD

Arfah, Arfah. “APPROXIMATING FIXED POINTS OF NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES”. TWMS Journal of Applied and Engineering Mathematics 16/3 (March 1, 2026): 305-318. https://izlik.org/JA24XF42DM.

JAMA

1.Arfah A. APPROXIMATING FIXED POINTS OF NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES. JAEM. 2026;16:305–318.

MLA

Arfah, Arfah. “APPROXIMATING FIXED POINTS OF NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 3, Mar. 2026, pp. 305-18, https://izlik.org/JA24XF42DM.

Vancouver

1.Arfah Arfah. APPROXIMATING FIXED POINTS OF NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES. JAEM [Internet]. 2026 Mar. 1;16(3):305-18. Available from: https://izlik.org/JA24XF42DM