Subscription Inventive Over the S-Convex Set in Linear Space
Neelam Dubey
Neelam Dubey, Scholar, Department of Mathematics, Veer Kunwar Singh University, Ara (Bihar), India.
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 | PP: 47-49 | Volume-5 Issue-1, April 2025 | Retrieval Number: 100.1/ijam.B120105021025 | DOI: 10.54105/ijam.B1201.05010425
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© The Authors. Published by Lattice Science Publication (LSP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
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.
Keywords: Convexity, S-Convex Set, Convex Function, Linear Combination, S-linear Combinations, Linear Space, Contemporary Mathematics.
Scope of the Article: Applied Mathematics