On Soft 𝑔⋕𝑠 Continuous Maps and Soft 𝑔⋕𝑠 Irresolute Maps

Objectives: Soft topology has developed as a rapidly expanding area of research, offering a wide range of emerging applications and avenues for investigation. This study introduces and examines two novel concepts within this framework: soft 𝑔⋕𝑠 continuous maps and soft 𝑔⋕𝑠 irresolute maps. The paper provides a comprehensive investigation into these newly defined concepts, delving into their foundational properties and exploring their interrelationships. Through this analysis, the work seeks to enhance the understanding of these concepts and lay the groundwork for their application in broader topological and mathematical contexts. By expanding the theoretical base of soft topology, this research contributes to the ongoing development of this vibrant field. Methods: To construct the definition of Soft 𝑔⋕𝑠 continuous maps and soft 𝑔⋕𝑠 irresolute maps, the previously introduced definitions soft b* - continuous functions and soft b* irresolute function have been referred in soft topological spaces. Findings: Some properties of soft 𝑔⋕𝑠 continuous map have been investigated by comparing the newly introduced soft 𝑔⋕𝑠 continuous map with the existing soft continuous functions, soft g s continuous functions, soft 𝛼-continuous functions, soft semi continuous functions and soft gsp continuous functions. Also it has been compared Soft 𝑔⋕𝑠 continuous maps with soft 𝑔⋕𝑠 irresolute maps and an interesting statement has been concluded. Novelty: Some properties of the newly introduced soft 𝑔⋕𝑠 continuous map have been discussed and the converse part of the properties have been verified with suitable examples. Keywords: Soft 𝑔⋕𝑠 closed sets; Soft g s continuous functions; Soft 𝑔⋕𝑠 continuous functions; Soft 𝑔⋕𝑠 irresolute functions