Published April 30, 2025 | Version CC-BY-NC-ND 4.0

Subscription Inventive Over the S-Convex Set in Linear Space

  • 1. Scholar, Department of Mathematics, Veer Kunwar Singh University, Ara (Bihar), India.

Description

Abstract: In the context of the present paper, our focus revolves around the exploration and analysis of S-convex sets, which represent a fascinating and novel extension of the classical concept of convex sets. We define S-convex sets and discus their main properties as well as the corresponding S-convex hull. Moreover, we clarify the concept of S-linear combinations, which are essential to our research. This first work lays the foundation for a thorough study of S-convex sets and their characteristics. A number of examples are included to show the necessity of the hypotheses of various theorems.

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Additional details

Identifiers

DOI
10.54105/ijam.B1201.05010425
EISSN
2582-8932

Dates

Accepted
2025-04-15
Manuscript received on 04 March 2025 | First Revised Manuscript received on 26 March 2025 | Second Revised Manuscript received on 06 April 2025 | Manuscript Accepted on 15 April 2025 | Manuscript published on 30 April 2025.

References