http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6249 JAEM 2025, Vol 15, No 2 koleksiyonunu içerir. 2026-04-09T06:11:38Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6269 A new variant of Kikkawa-Suzuki type fixed point theorem for multi-valued mappings with stability analysis and application to Volterra integral inclusion Zaman, Md Shahruz; Goswami, Nilakshi This paper aims to present a new variant of Kikkawa-Suzuki type common fixed point theorem for multi-valued mappings in the framework of partial metric space. This result is followed by the establishment of a Reich type common fixed point theorem applicable to multi-valued mappings. Some illustrative examples are provided to demonstrate our findings. Moreover, we analyse the data dependence and stability of fixed point sets for such mappings. To show the practical significance of the derived results, an application is shown to a system of Volterra integral inclusions. 2025-02-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6268 Non-intersection power graphs and co-prime graphs of finite groups Swathi, V. V.; Sunitha, M. S. In this paper, we define the non-intersection power graph of a finite group G as a graph whose vertex set is G, and edge set consists of unordered pairs {u, v} of vertices such that ⟨u⟩ ∩ ⟨v⟩ = {e}. We find some structural properties, planarity and independence number of non-intersection power graphs of finite groups. We classify all groups whose non-intersection power graph and co-prime graph are identical. Also we calculate some topological indices such as Wiener index, Harary index and Zagreb index of co-prime graphs of some groups. 2025-02-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6267 New results on Caputo fractional Volterra-Fredholm integro-differential equations with nonlocal conditions Sharif, Abdulrahman A.; Hamoud, Ahmed A.; Hamood, M. M.; Ghadle, Kirtiwant P. This article investigates the existence and uniqueness of solutions for a nonlocal initial condition of the Caputo fractional Volterra-Fredholm integro-differential equation in a Banach space. We shall prove the existence and uniqueness of the results by using the Banach and Krasnoselskii fixed-point theorems. A number of illustrative examples will be given to further the understanding of our main conclusions. 2025-02-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6266 Some topological properties of a generalized S-metric space together with some fixed point results and their applications Roy, Kushal In this paper, the concept of S(p,q)b-metric space is introduced as a generalization of S-metric space, Sb-metric space, (p, q)-metric space and QM(n, b)-metric space. A topology is formed with the help of S(p,q)b-metric and some topological properties are studied to establish Cantor’s intersection theorem. Sehgal-Guseman, Reich and Akram type fixed point theorems are proved over such spaces. Several examples are given in support of our results. Moreover, the proven fixed point theorems are applied to well-posedness and Ulam-Hyers stability of fixed point problems. 2025-02-01T00:00:00Z