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    A fixed point theorem on soft G-metric spaces
    (Int Scientific Research Publications, 2016) Guler, Aysegul Caksu; Yildirim, Esra Dalan; Ozbakir, Oya Bedre
    We introduce soft G-metric spaces via soft element. Then, we obtain soft convergence and soft continuity by using soft G-metric. Also, we prove a fixed point theorem for mappings satisfying sufficient conditions in soft G-metric spaces. (C)2016 All rights reserved.
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    ON MENGER SPACES VIA IDEALS
    (Central Missouri State Univ, Dept Mathematics & Computer Science, 2021) Yildirim, Esra Dalan; Guler, Aysegul Caksu; Ozbakir, Oya Bedre
    In this paper, we define J-Menger, J-star Menger, and J-strongly star Menger spaces using ideals, and give their relations to related spaces. We also investigate some properties of them. Finally, we show that the concepts of J-Menger, J-star Menger, and J-strongly star Menger are equivalent in the class of paracompact spaces.
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    Rough approximations based on different topologies via ideals
    (Scientific And Technological Research Council Turkey, 2022) Guler, Aysegul Caksu; Yildirim, Esra Dalan; Ozbakir, Oya Bedre
    In this paper, we generalize the notations of rough sets based on the topological space. Firstly, we produce various topologies by using the concept of ideal, Cj -neighbourhoods and Pj -neighbourhoods. When we compare these topologies with previous topologies, we see that these topologies are more general. Then we introduce new methods to find the approximations by using these generated topologies. When we compare these methods with the previous methods, we see that these methods are more accurate.