New classes of soft generalized mappings and their applications in soft separation axioms and group theory

Mishlish, Muthanna; Talak, Abdulsalam F.; Al-Jumaili, Alaa M. F.

doi:10.47974/JIM-2585

Open Access Research Article

New classes of soft generalized mappings and their applications in soft separation axioms and group theory

^*Muthanna MishlishCorresponding authormuthana.kh.m@uoanbar.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of AnbarAnbar, Iraq0009-0002-6071-5705View full profile → , Abdulsalam F. Talakabd19u2007@uoanbar.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of AnbarAnbar, IraqView full profile → , Alaa M. F. Al-Jumailieps.alaamahmood.farhan@uoanbar.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of AnbarAnbar, IraqView full profile →

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pp. 1291–1299Vol. 29Issue 5-AMay 2026DOI: 10.47974/JIM-2585XML

Received:: 01 Jan 2026
Published Online:: 27 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2585
Pages:: 1291–1299

Abstract

Study of soft set theory is extremely vital of possible implementations in the classical and nonclassical logic. Therefore, in the present study, new classes of soft generalized mappings namely; soft δ-ß-Continuous and δ-ß-Homeomorphism mappings have been introduced by employing another notion of generalized soft sets. Moreover, new structures of soft group theory and soft δ-ß-separation axioms are defined and discussed with assist of δ-ß-soft open sets. These types of generalized soft δ-ß-separation axioms would be beneficial for progress of soft topological spaces to solve the complicated issues containing uncertainties. Additionally, numerous applications related to these categories of soft generalized mappings in the soft group theory and soft δ-ß-separation axioms are discussed which may be of importance for further studies. Finally, we have shown the family of 𝒮δß𝓇–(Ҳ, 𝔍, E) create the theory of soft group.

Keywords

Soft δ-ß-open Soft δ-ß-homeomorphism Soft δ-ß-continuity Soft δ-ß-separation

Subject Classifications

Primary 54C08Secondary 54C10

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