journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-1606 A new kind of topological vector space via proximit structure Kadhim Dhuha Abdulameer Department of Mathematics, College of Education for Girls, University of Kufa, Iraq Hussein Boushra Y. Department of Mathematics, College of Education, University of Al-Qadisiyah, Iraq 26 6 1065 1075 03 08 2023

The concepts of Dh-contraction, proximit semigroup, proximit group, proximit vector space and topological proximit space are introduced. There are a few instances and properties provided. Convergence and Sequential Dh-contraction are both specified, in addition to the terms Dh-contraction and Sequential Dh-contraction are interchangeable.

 Dh-contraction Proximit group Proximit vector space Proximit space access open retracted no