http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7263 JAEM 2026, Vol 16, No 5 koleksiyonunu içerir. Thu, 07 May 2026 01:37:24 GMT 2026-05-07T01:37:24Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7270 A characterization of E-completeness in vector metric spaces with an application in fixed point theory Mohanta, Sushanta Kumar; Das, Shubha The main purpose of this article is to introduce the notion of dᵥ-point in a vector metric space which is a generalization of the notion of d-point in metric spaces and extend Weston’s characterization of metric completeness to vector metric spaces in terms of dᵥ-point. In fact, we have utilized the concepts of lower semicontinuity and uniform continuity in this new framework to establish the main result. Finally, we established relations among minimal points, dᵥ-points and fixed points in this new setting. As an application of this study, we obtained the analogue of Banach Contraction Principle in vector metric spaces. Fri, 01 May 2026 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7270 2026-05-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7269 Some properties of fuzzy disjointness in fuzzy lattices Khubchandani, Payal; Khubchandani, Jyoti In this paper, we introduce the concept of fuzzy general disjointness property along with its notation. Our results indicate that a fuzzy section semi-complemented lattice possesses the fuzzy atomic covering property if it meets the criteria for the fuzzy atomic disjointness property. Furthermore, we establish that if a fuzzy section semicomplemented lattice satisfies the fuzzy disjointness property, then it is both fuzzy ⊥-modular and a fuzzy Birkhoff lattice. Fri, 01 May 2026 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7269 2026-05-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7268 Path center of a fuzzy graph based on µ-distance Jose, Jis Mary; Sheeja, T. K.; Shenoi, Prakash G. Narasimha Graph theory has put forward a mathematical foundation for modelling and fine tuning communication and transportation networks. Centers and path centers serve as effective tools for optimizing traffic flow and efficiently allocating resources. The present article examines the concepts of eccentricity, center and path center of a fuzzy graph based on µ-distance. The major contribution of this article is an algorithm to find the path center and center of trees in fuzzy context. Many characteristics of center and path center of fuzzy graphs are explored and illustrated. Furthermore, eccentricities of adjacent nodes in a fuzzy graph and eccentricities of end nodes of effective arcs and strongly µ-related nodes are investigated. Fri, 01 May 2026 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7268 2026-05-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7267 Hybrid bi-ideals and hybrid quasi-ideals in ordered semirings Elavarasan, Balasubramanian; Meenakshi, S.; Porselvi, K. Fuzzy set theory has been proven to be a powerful tool for dealing with uncertainty in decision-making processes. This theory addresses uncertain parameters. Soft set theory is another mathematical concept used for managing uncertainty in decisionmaking processes and imprecision. Integrating the ideas of a fuzzy set and a soft set, Jun et al. established the concept of hybrid structure. We should emphasize that hybrid structures combine soft and fuzzy set theories. The main objective of this paper is to explore the concept of hybrid bi-ideals and hybrid quasi-ideals in ordered semirings. In addition, we construct an example of hybrid bi-ideal and hybrid quasi-ideal in an ordered semiring. We provide various properties of hybrid bi-ideal and hybrid quasi-ideal in ordered semirings. Fri, 01 May 2026 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7267 2026-05-01T00:00:00Z