Demonstrates existence of fixed points in quasi-metric spaces, suggesting broader applications in mathematical theory.
This paper introduces a novel fixed point theorem in the context of Δ-symmetric quasi-metric spaces, providing valuable insights into the existence of fixed points for mappings in these spaces. Δ-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.
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Güngör et al. (2026) studied this question.
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