Uniqueness of fixed points for contractions on perturbed metric spaces associated with directed graphs

Özlem Acar

doi:10.33205/cma.1817224

Uniqueness of fixed points for contractions on perturbed metric spaces associated with directed graphs

Abstract

In this paper, we investigate fixed point results for self-mappings defined on perturbed metric spaces endowed with a graph structure. By combining the notions of a perturbed metric and graph-preserving mappings, we establish a Banach-type fixed point theorem that ensures the existence and uniqueness of fixed points under certain contractive conditions. The presented result generalizes several known fixed point theorems in both standard and generalized metric settings. Illustrative examples are provided to demonstrate the validity and applicability of the main theorem.

Keywords

References

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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Özlem Acar ^*
0000-0001-6052-4357
Türkiye

Early Pub Date

December 16, 2025

Publication Date

December 16, 2025

Submission Date

November 4, 2025

Acceptance Date

December 5, 2025

Published in Issue

Year 2025 Volume: 8 Number: Special Issue: ICCMA

DOI

https://doi.org/10.33205/cma.1817224

IZ

https://izlik.org/JA82MR43JX

Cite

RIS / Bibtex

APA

Acar, Ö. (2025). Uniqueness of fixed points for contractions on perturbed metric spaces associated with directed graphs. Constructive Mathematical Analysis, 8(Special Issue: ICCMA), 49-56. https://doi.org/10.33205/cma.1817224

AMA

1.Acar Ö. Uniqueness of fixed points for contractions on perturbed metric spaces associated with directed graphs. CMA. 2025;8(Special Issue: ICCMA):49-56. doi:10.33205/cma.1817224

Chicago

Acar, Özlem. 2025. “Uniqueness of Fixed Points for Contractions on Perturbed Metric Spaces Associated With Directed Graphs”. Constructive Mathematical Analysis 8 (Special Issue: ICCMA): 49-56. https://doi.org/10.33205/cma.1817224.

EndNote

Acar Ö (December 1, 2025) Uniqueness of fixed points for contractions on perturbed metric spaces associated with directed graphs. Constructive Mathematical Analysis 8 Special Issue: ICCMA 49–56.

IEEE

[1]Ö. Acar, “Uniqueness of fixed points for contractions on perturbed metric spaces associated with directed graphs”, CMA, vol. 8, no. Special Issue: ICCMA, pp. 49–56, Dec. 2025, doi: 10.33205/cma.1817224.

ISNAD

Acar, Özlem. “Uniqueness of Fixed Points for Contractions on Perturbed Metric Spaces Associated With Directed Graphs”. Constructive Mathematical Analysis 8/Special Issue: ICCMA (December 1, 2025): 49-56. https://doi.org/10.33205/cma.1817224.

JAMA

1.Acar Ö. Uniqueness of fixed points for contractions on perturbed metric spaces associated with directed graphs. CMA. 2025;8:49–56.

MLA

Acar, Özlem. “Uniqueness of Fixed Points for Contractions on Perturbed Metric Spaces Associated With Directed Graphs”. Constructive Mathematical Analysis, vol. 8, no. Special Issue: ICCMA, Dec. 2025, pp. 49-56, doi:10.33205/cma.1817224.

Vancouver

1.Özlem Acar. Uniqueness of fixed points for contractions on perturbed metric spaces associated with directed graphs. CMA. 2025 Dec. 1;8(Special Issue: ICCMA):49-56. doi:10.33205/cma.1817224