A Fixed Point Theorem on $\Delta$-Symmetric Quasi-Metric Spaces

Gonca Durmaz Güngör; İshak Altun

doi:10.53570/jnt.1899188

A Fixed Point Theorem on $\Delta$-Symmetric Quasi-Metric Spaces

Abstract

This paper introduces a novel fixed point theorem in the context of $\Delta$-symmetric quasi-metric spaces, providing valuable insights into the existence of fixed points for mappings in these spaces. $\Delta$-symmetric quasi-metric spaces extend conventional metric spaces by relaxing the symmetry condition, allowing for a more flexible and generalized representation of distance. The paper presents a comprehensive theoretical framework that establishes clear and sufficient conditions under which fixed points of self-maps in such spaces are guaranteed, thereby enriching the existing theory of fixed points.

Keywords

References

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Details

Primary Language

English

Subjects

Topology

Journal Section

Research Article

Authors

Gonca Durmaz Güngör ^*
0000-0002-5010-273X
Türkiye

İshak Altun
0000-0002-7967-0554
Türkiye

Publication Date

March 30, 2026

Submission Date

February 27, 2026

Acceptance Date

March 29, 2026

Published in Issue

Year 2026 Number: 54

DOI

https://doi.org/10.53570/jnt.1899188

IZ

https://izlik.org/JA85PZ27WG

Cite

RIS / Bibtex

APA

Durmaz Güngör, G., & Altun, İ. (2026). A Fixed Point Theorem on $\Delta$-Symmetric Quasi-Metric Spaces. Journal of New Theory, 54, 56-67. https://doi.org/10.53570/jnt.1899188

AMA

1.Durmaz Güngör G, Altun İ. A Fixed Point Theorem on $\Delta$-Symmetric Quasi-Metric Spaces. JNT. 2026;(54):56-67. doi:10.53570/jnt.1899188

Chicago

Durmaz Güngör, Gonca, and İshak Altun. 2026. “A Fixed Point Theorem on $\Delta$-Symmetric Quasi-Metric Spaces”. Journal of New Theory, nos. 54: 56-67. https://doi.org/10.53570/jnt.1899188.

EndNote

Durmaz Güngör G, Altun İ (March 1, 2026) A Fixed Point Theorem on $\Delta$-Symmetric Quasi-Metric Spaces. Journal of New Theory 54 56–67.

IEEE

[1]G. Durmaz Güngör and İ. Altun, “A Fixed Point Theorem on $\Delta$-Symmetric Quasi-Metric Spaces”, JNT, no. 54, pp. 56–67, Mar. 2026, doi: 10.53570/jnt.1899188.

ISNAD

Durmaz Güngör, Gonca - Altun, İshak. “A Fixed Point Theorem on $\Delta$-Symmetric Quasi-Metric Spaces”. Journal of New Theory. 54 (March 1, 2026): 56-67. https://doi.org/10.53570/jnt.1899188.

JAMA

1.Durmaz Güngör G, Altun İ. A Fixed Point Theorem on $\Delta$-Symmetric Quasi-Metric Spaces. JNT. 2026;:56–67.

MLA

Durmaz Güngör, Gonca, and İshak Altun. “A Fixed Point Theorem on $\Delta$-Symmetric Quasi-Metric Spaces”. Journal of New Theory, no. 54, Mar. 2026, pp. 56-67, doi:10.53570/jnt.1899188.

Vancouver

1.Gonca Durmaz Güngör, İshak Altun. A Fixed Point Theorem on $\Delta$-Symmetric Quasi-Metric Spaces. JNT. 2026 Mar. 1;(54):56-67. doi:10.53570/jnt.1899188