Convergence Results for Mappings Satisfying the (HRSC)-Condition in Uniformly Convex Hyperbolic Spaces

Nazlı Kadıoğlu Karaca

Convergence Results for Mappings Satisfying the (HRSC)-Condition in Uniformly Convex Hyperbolic Spaces

Abstract

In this paper, we investigate fixed point approximation for mappings satisfying the Hardy-Rogers-Suzuki-type condition in uniformly convex hyperbolic spaces. By using a modified M-iteration process, we establish Δ-convergence and strong convergence results under suitable assumptions. An example illustrating the applicability of the obtained results is presented. The results extend and complement several existing convergence theorems for generalized nonexpansive mappings.

Keywords

Supporting Institution

No supporting institution.

Ethical Statement

No ethical approval was required for this study.

Thanks

The authors would like to thank the reviewers for their valuable comments.

References

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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Nazlı Kadıoğlu Karaca ^*
Türkiye

Publication Date

October 18, 2026

Submission Date

May 18, 2026

Acceptance Date

June 29, 2026

Published in Issue

Year 2026 Volume: 12 Number: 1

IZ

https://izlik.org/JA57TC92UJ

Cite

RIS / Bibtex

APA

Kadıoğlu Karaca, N. (2026). Convergence Results for Mappings Satisfying the (HRSC)-Condition in Uniformly Convex Hyperbolic Spaces. Eastern Anatolian Journal of Science, 12(1), 1-8. https://izlik.org/JA57TC92UJ

AMA

1.Kadıoğlu Karaca N. Convergence Results for Mappings Satisfying the (HRSC)-Condition in Uniformly Convex Hyperbolic Spaces. Eastern Anatolian Journal of Science. 2026;12(1):1-8. https://izlik.org/JA57TC92UJ

Chicago

Kadıoğlu Karaca, Nazlı. 2026. “Convergence Results for Mappings Satisfying the (HRSC)-Condition in Uniformly Convex Hyperbolic Spaces”. Eastern Anatolian Journal of Science 12 (1): 1-8. https://izlik.org/JA57TC92UJ.

EndNote

Kadıoğlu Karaca N (October 1, 2026) Convergence Results for Mappings Satisfying the (HRSC)-Condition in Uniformly Convex Hyperbolic Spaces. Eastern Anatolian Journal of Science 12 1 1–8.

IEEE

[1]N. Kadıoğlu Karaca, “Convergence Results for Mappings Satisfying the (HRSC)-Condition in Uniformly Convex Hyperbolic Spaces”, Eastern Anatolian Journal of Science, vol. 12, no. 1, pp. 1–8, Oct. 2026, [Online]. Available: https://izlik.org/JA57TC92UJ

ISNAD

Kadıoğlu Karaca, Nazlı. “Convergence Results for Mappings Satisfying the (HRSC)-Condition in Uniformly Convex Hyperbolic Spaces”. Eastern Anatolian Journal of Science 12/1 (October 1, 2026): 1-8. https://izlik.org/JA57TC92UJ.

JAMA

1.Kadıoğlu Karaca N. Convergence Results for Mappings Satisfying the (HRSC)-Condition in Uniformly Convex Hyperbolic Spaces. Eastern Anatolian Journal of Science. 2026;12:1–8.

MLA

Kadıoğlu Karaca, Nazlı. “Convergence Results for Mappings Satisfying the (HRSC)-Condition in Uniformly Convex Hyperbolic Spaces”. Eastern Anatolian Journal of Science, vol. 12, no. 1, Oct. 2026, pp. 1-8, https://izlik.org/JA57TC92UJ.

Vancouver

1.Nazlı Kadıoğlu Karaca. Convergence Results for Mappings Satisfying the (HRSC)-Condition in Uniformly Convex Hyperbolic Spaces. Eastern Anatolian Journal of Science [Internet]. 2026 Oct. 1;12(1):1-8. Available from: https://izlik.org/JA57TC92UJ