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(∈´,∈´∨q´kˇ)-Uni-Intuitionistic Fuzzy Soft h-Ideals in Subtraction BG-Algebras
The main purpose of the present paper is to introduced the notions of (∈´,∈´∨q´)-UIFSSAs in subtraction BG-algebras. We provide different characterizations and some equivalent conditions of (∈´,∈´∨q´)-UIFSSAs in terms of the level subsets of subtraction BG-algebras. It has been revealed that the (q´,q´)-UIFSSA are (∈´,∈´)-UIFSSA but the converse does not hold and an example is provided. We introduced (∈´,∈´∨q´)-UIFSIDs and its some usual properties. In addition, h−1(N˜[ς]) is (∈´,∈´∨q´)-UIFSID. Moreover, if h−1(N˜[ς]) are an (∈´,∈´∨q´)-UIFSID, then N˜[ς] are an (∈´,∈´∨q´)-UIFSID. Finally, we characterize (∈´,∈´∨q´kˇ)-UIFSHID which is a generalization of (∈´,∈´∨q´)-UIFSHID.
Journal Article
Metric Spaces
Recently, Ji et al. established certain fixed-point results using Mann’s iterative scheme tailored to G b -metric spaces. Stimulated by the notion of the F -contraction introduced by Wardoski, the contraction condition of Ji et al. was generalized in this research. Several fixed-point results with Mann’s iterative scheme endowed with F -contractions in G b -metric spaces were proven. One non-trivial example was elaborated to support the main theorem. Moreover, for application purposes, the existence of the solution to an integral equation is provided by using the axioms of the proven result. The obtained results are generalizations of several existing results in the literature. Furthermore, the results of Ji. et al. are the special case of theorems provided in the present research.
Journal Article
Some New Notions of Continuity in Generalized Primal Topological Space
This study analyzes the characteristics and functioning of Sg∗-functions, Sg∗-homeomorphisms, and Sg∗#-homeomorphisms in generalized topological spaces (GTS). A few important points to emphasize are Sg∗-continuous functions, Sg∗-irresolute functions, perfectly Sg∗-continuous, and strongly Sg∗-continuous functions in GTS and generalized primal topological spaces (GPTS). Some specific kinds of Sg∗ functions, such as Sg∗-open mappings and Sg∗-closed mappings, are discussed. We also analyze the GPTS, providing a thorough look at the way these functions work in this specific context. The goal here is to emphasize the concrete implications of Sg∗ functions and to further the theoretical understanding of them by merging different viewpoints. This work advances the area of topological research by providing new perspectives on the behavior of Sg∗ functions and their applicability in various topological settings. The outcomes reported here contribute to our theoretical understanding and establish a foundation for further research.
Journal Article
How big is big? : science projects with volume
\"Simple science experiments about measurement of volume using everyday items with many experiments that can be turned into science fair projects.\"-- Provided by publisher.
Book
Locally Convex Spaces with Sequential Dunford–Pettis Type Properties
Let p,q,q′∈[1,∞], q′≤q. Several new characterizations of locally convex spaces with the sequential Dunford–Pettis property of order (p,q) are given. We introduce and thoroughly study the sequential Dunford–Pettis* property of order (p,q) of locally convex spaces (in the realm of Banach spaces, the sequential DP(p,∞)* property coincides with the well-known DPp* property). Being motivated by the coarse p-DP* property and the p-Dunford–Pettis relatively compact property for Banach spaces, we define and study the coarse sequential DP(p,q)* property, the coarse DPp* property and the p-Dunford–Pettis sequentially compact property of order (q′,q) in the class of all locally convex spaces.
Journal Article
Symmetric Spaces and the π-Images of Metric Spaces
Symmetric spaces and sn -symmetric spaces, as a generalization of metric spaces, have many important properties and have been widely discussed. We consider characterizations and mapping properties of sn -symmetric spaces under ideal convergence. I -symmetric spaces and I - sn -symmetric spaces are defined and studied. These not only generalize some classical results on symmetric spaces but also provide new directions to study generalized metric spaces using the notion of ideal convergence. As an application of I - sn -symmetric spaces, some relevant properties of statistical convergence are obtained. Some unanswered questions in this field are raised.
Journal Article