Browsing by Author "Guler, Aysegul Caksu"

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Citation - WoS: 16
Citation - Scopus: 17
A fixed point theorem on soft G-metric spaces
(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016) Aysegul Caksu Guler; Esra Dalan Yildirim; Oya Bedre Ozbakir; Yildirim, Esra Dalan; Guler, Aysegul Caksu; 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.
Citation - WoS: 1
Citation - Scopus: 1
Different types of approximation operators on Gn-CAS via ideals
(University of Nis, 2024) Oya Bedre Özbakir; Esra Dalan Yildirim; Aysegül Çaksu Güler; Bedre Özbakir, Oya; Yildirim, Esra Dalan; Guler, Aysegul Caksu; Dalan Yildirim, Esra; Çaksu Güler, Aysegül; Ozbakir, Oya Bedre
A mathematical approach to dealing with the problems of ambiguity and indeterminacy in knowledge is called a rough set theory. It begins by using an equivalence relation to divide the universe into parts. Numerous generalized rough set models have been developed and investigated to increase their adaptability and extend their range of applications. In this context we introduce new generalized rough set models that are inspired by covering-based rough sets and ideals. In this paper lower and upper approximations of new types of covering rough sets based on j-neighborhoods complementary j-neighborhoods and j-adhesions are defined via ideals. The main features of these approximations are examined. The relationships among them are given by various examples and propositions. Some comparisons between our methods and others’ methods such as Abd El-Monsef et al.’s method [2] and Nawar et al.’s method [22] are given. A practical example is given to illustrate one of our methods is more precise. © 2024 Elsevier B.V. All rights reserved.
ON MENGER SPACES VIA IDEALS
(CENTRAL MISSOURI STATE UNIV DEPT MATHEMATICS & COMPUTER SCIENCE, 2021) Esra Dalan Yildirim; Aysegul Caksu Guler; Oya Bedre Ozbakir; 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.
Citation - WoS: 24
Citation - Scopus: 28
Rough approximations based on different topologies via ideals
(Tubitak Scientific & Technological Research Council Turkey, 2022) Esra Dalan Yıldırım; Aysegul Caksu Guler; Oya Ozbakir; Yildirim, Esra Dalan; Guler, Aysegul Caksu; Ozbakir, Oya Bedre
In this paper we generalize the notations of rough sets based on the topological space. Firstly we produce\rvarious topologies by using the concept of ideal $C_j$ -neighbourhoods and $P_j$ -neighbourhoods. When we compare these topologies with previous topologies we see that these topologies are more general. Then we introduce new methods\rto find the approximations by using these generated topologies. When we compare these methods with the previous\rmethods we see that these methods are more accurate.
Some Fixed Point Theorems on $b$-$\\theta$-metric spaces via $b$-simulation Functions
(2021) Esra Dalan Yıldırım; Aysegul Caksu Guler; Oya Ozbakir; Yıldırım, Esra Dalan; Guler, Aysegul Caksu; Ozbakir, Oya
We introduce the concept of $b$-$\\theta$-metric space as a generalization of $\\theta$-metric space and investigate some of its properties. Then we establish a fixed point theorem in $b$-$\\theta$-metric spaces via $b$-simulation functions. Thus we deduce Banach type fixed point in such spaces. Also we discuss some fixed point results in relation to existing ones.