jnt

Journal of New Theory

2149-1402

Naim ÇAĞMAN

10.53570/jnt.1899188

Topology

Topoloji

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

https://orcid.org/0000-0002-5010-273X

Durmaz Güngör

Gonca

ÇANKIRI KARATEKİN ÜNİVERSİTESİ

https://orcid.org/0000-0002-7967-0554

Altun

İshak

KIRIKKALE ÜNİVERSİTESİ

03 30 2026

54 56 67 02 27 2026 03 29 2026

2014

Journal of New Theory

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.

Quasi-metric spaces left $K$-Cauchy sequences almost contraction $\theta$-contraction

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