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Öğe A NEW TYPE WARPED PRODUCT METRIC IN CONTACT GEOMETRY(Honam Mathematical Soc, 2022) Mollaogullari, Ahmet; Camci, CetinThis study presents an alpha-Sasakian structure on the product manifold M-1 x beta (I) , where M-1 is a Kahler manifold with an exact 1-form, and beta(I) is an open curve. It then defines a new type warped product metric to study the warped product of almost Hermitian manifolds with almost contact metric manifolds, contact metric manifolds, and K-contact manifolds.Öğe Clarifying Soft Semi-Separation Axioms Using the Concept of Soft Element(World Scientific Publ Co Pte Ltd, 2023) Aydin, Tugce; Enginoglu, Serdar; Mollaogullari, AhmetRecently, soft semi-open sets being a generalization of soft open sets and soft topological notions related to them have been studied. However, these studies have not tackled the concept of soft elements. To this end, we conduct a grounding study on soft semi-open sets and investigate soft topological notions through this concept. We then define soft semi-separation axioms in soft topological spaces on a soft set via soft elements. Moreover, we examine the relationships between these spaces and their subspaces. Afterward, we clarify the theoretical section of the study with presented examples and study the relationships between soft semi-separation axioms and soft separation axioms. Finally, we discuss the study's contributions to the literature and the need for further research.